Rennie Gordon Atwell, who is serving a life sentence in the Louisiana state penitentiary, appeals from the district court’s denial of his petition for writ of habeas corpus. Atwell asserts two primary grounds for relief. First, he claims that he was indicted by a grand jury that did not represent a fair cross-section of the community as required by the United States Constitution. Second, he contends that the state’s failure to disclose prior arrest and conviction records of potential state witnesses and jurors and potential jurors’ voting records violated his due process rights. Finding that Atwell has failed to demonstrate a constitutional violation, we affirm.
Facts and Proceedings Below
In early 1975, the Orleans Parish Jury Commissioners ceased requiring process servers to serve jury duty summons in the New Orleans Desire Housing Project because of violence in that area. The service of jury duty summons was resumed by August or September of 1975. On March 1, 1975, during the time that summons were not being served in the heart of the Desire housing project, a grand jury was impaneled, which continued until August 31, 1975. On April 3, 1975, petitioner At-well was indicted by this grand jury for first degree murder. Atwell was convicted for first degree murder on February 18, *5041976,1 by a petit jury selected after service of jury duty summons in the Desire project had been resumed. The Louisiana trial court sentenced Atwell to life imprisonment without benefit of pardon, parole, commutation, or suspension of sentence.
The Louisiana Supreme Court affirmed Atwell’s conviction and sentence on direct appeal, finding that the trial court had properly denied Atwell’s motion to quash his indictment, but remanded for a hearing to determine whether the state had violated Brady v. Maryland, 373 U.S. 83, 83 S.Ct. 1194, 10 L.Ed.2d 215 (1963), by failing to disclose prior arrest and conviction records of its potential witnesses. State v. Harvey, 358 So.2d 1224 (La.1978). After a hearing on remand, the trial court found that, at the time of Atwell’s trial, the state had no knowledge of any prior convictions of its witnesses and that there was no evidence that the state's witnesses had any prior arrests or convictions. On appeal, the Louisiana Supreme Court affirmed. State v. Harvey, 369 So.2d 134 (La.1979). Atwell was represented by counsel throughout his state trial, appeal, proceedings on remand, and subsequent appeal.
Atwell filed this habeas corpus petition in the district court for the Eastern District of Louisiana pursuant to 28 U.S.C. § 2254. The state concedes that Atwell has exhausted his state remedies. The district court referred the case to a magistrate, but later revoked the order and, without a hearing, denied relief on all grounds.2
Discussion
Cross-Section Claim
Atwell seeks federal habeas relief based on his claim that exclusion of the Desire housing project residents violated his constitutional right to a fair cross-section of the community on the panel from which his grand jury was drawn. See Eggleston v. Estelle, 513 F.2d 758, 760-61 (5th Cir.1975). In State v. Cage, 337 So.2d 1123 (La.1976), the Louisiana Supreme Court addressed a challenge by Harry Cage of the identical grand jury that indicted Atwell. See State v. Ferguson, 358 So.2d 1214, 1222 (La.1978) (Summers, J., concurring). The Louisiana Supreme Court held that the exclusion of Desire housing project residents from jury service, though not improperly motivated, nevertheless violated Cage’s federal and state constitutional rights “because the exclusion was deliber*505ate and involved a sizeable and distinctive group in the community.” Cage, 337 So.2d at 1125. It sustained the trial judge’s quashing of Cage’s indictment. Atwell, prior to his trial, moved through his counsel to quash his indictment on the ground that residents of the Desire project were not being served with jury duty summonses when his grand jury was selected. A copy of the transcript of the testimony at Cage’s hearing on this subject was introduced in support of Atwell’s motion and considered by the trial court, which nevertheless overruled the motion. On direct appeal of Atwell’s conviction, the Louisiana Supreme Court sustained the trial court’s refusal to quash Atwell’s indictment because of its decision that same day in Ferguson, 358 So.2d at 1216-17, that Cage should be applied prospectively only to ve-nires selected after the date of the Cage decision. Harvey, 358 So.2d at 1229-30.
Because we are not bound by the Louisiana Supreme Court’s interpretation of the United States Constitution, we must determine whether Atwell established in the federal district court that he is entitled to habeas relief.3 Atwell, as habeas petitioner, bears the burden of proving, at the least, that a constitutionally distinctive group or identifiable segment of the community was purposefully excluded from his grand jury venire by the jury selection process. In Duren v. Missouri, 439 U.S. 357, 99 S.Ct. 664, 58 L.Ed.2d 579 (1979), the Supreme Court articulated the showing necessary to establish a violation of the Sixth Amendment fair cross-section requirement. The defendant must show:
“(1) that the group alleged to be excluded is a ‘distinctive’ group in the community; (2) that the representation of this group in venires from which juries are selected is not fair and reasonable in relation to the number of such persons in the community; and (3) that this underre-presentation is due to systematic exclusion of the group in the jury-selection process.” Id. at 668.
In addressing the underrepresentation requirement, the Duren Court stated: “Initially, the defendant must demonstrate the percentage of the community made up of the group alleged to be underrepresented, for this is the conceptual benchmark for the Sixth Amendment fair-cross-section requirement.” Id. Furthermore, the defendant must show that the underrepresentation of the group at issue “generally and on his venire, was due to their systematic exclusion in the jury selection process.” Id. at 669 (emphasis added). Once the defendant has made a prima facie showing, the state may justify the infringement “by showing attainment of a fair cross section to be incompatible with a significant state interest.” Id. at 671.4
*506Because Atwell has not established that the failure to serve jury duty summonses in the Desire housing project caused residents of that project to be underrepresented on his grand jury venire, we find that his claim in this connection must fail. At the state trial court hearing on Atwell’s motion to quash his indictment, the state and the defense entered into a stipulation concerning the testimony offered in the Cage case by the Chairman of the Orleans Parish Jury Commissioners. The trial court entered the transcript of the December 15, 1975 evidentiary hearing conducted on the motion to quash in the Cage case into Atwell’s trial court record. Atwell presented no additional evidence to the state court in support of his motion to quash.5 Atwell asserts that his evidence is the same as the Cage evidence and does not suggest that he sought to offer, either before the state trial court or the federal district court, any evidence other than the transcript of the testimony at the Cage hearing.
The transcript of the testimony at the Cage hearing on the grand jury selection reflects that, during the time the grand jury at issue was impaneled, service of jury duty summons was discontinued in the Desire housing project, or at least in “the heart” of the project.6 Also, a housing project statistician testified that in October 1975 there were 9,531 residents in the housing project and that the entire Desire population was black.7 In addition, the Chairman of the Orleans Parish Jury Commissioners testified that, in impaneling a grand jury, venires of seventy-five persons were drawn from the Register of Voters,8 and that the trial court judge selected the grand jury from the venire. There was no evidence that any Desire resident (or a resident from the heart of the project) was selected for Atwell’s venire. Nor was there any evidence as to the number of registered voters in the Desire project or the statistical likelihood that a Desire resident would have been chosen. Moreover, there was no evidence concerning the proportion in Orleans Parish of persons with demographic characteristics similar to those in the Desire project. The Jury Commission Chairman did testify that the seventy-five-person grand jury venires were usually forty-five to fifty-five percent black. There was no other evidence of the racial or socio-economic makeup of the particular venire or of Atwell’s grand jury which was chosen from it. Just as in Preston (where the record apparently contained all the same evidence as here, plus other evidence), we conclude that “no evidence was presented that in the selection process for” Atwell’s grand jury venire “names of any Desire residents were chosen for the wheel to be served in the first place,” id. at 101 (footnote omitted), and the Desire group “is so small that we may not infer, as a statistical matter, that some number *507of them must necessarily have been included in the venire chosen from the wheel.” Id. at 102.9 Accordingly, Atwell has tendered no prima fade showing that the practice of not serving within the Desire project affected the make-up of his grand jury venire. The district court correctly ruled that no constitutional defect was shown respecting the selection of the grand jury.10
Due Process Brady v. Maryland Claim
Atwell also contends that the state failed to disclose to him prior arrest and conviction records of its potential witnesses in response to his pretrial request in violation of Brady v. Maryland, 373 U.S. 83, 83 S.Ct. 1194, 10 L.Ed.2d 215 (1963). In ruling on Atwell’s direct appeal, the Louisiana Supreme Court, relying on United States v. Agurs, 427 U.S. 97, 96 S.Ct. 2392, 49 L.Ed.2d 342 (1976), remanded for a hearing to determine whether there was suppression of material “for which there was a substantial basis for claiming that materiality existed,” 358 So.2d at 1233. After the remand hearing, the Louisiana Supreme Court affirmed the trial court’s finding that *508the state had not suppressed information requested by the defendants. 369 So.2d at 134.
Factual determinations made by a state court after a full and fair hearing on the merits are entitled to a presumption of correctness. 28 U.S.C. § 2254(d); Sumner v. Mata, 449 U.S. 539, 101 S.Ct. 764, 767-69, 66 L.Ed.2d 722 (1981). Unless we determine that the state court’s factual finding is not “fairly supported by the record,” Atwell must establish by “convincing evidence” that the factual determination was erroneous. Id. at 771. We hold that the state court’s determination is supported by the record. Atwell’s claim that the state attorney who testified at the remand hearing was not familiar with the circumstances of Atwell’s trial is unsupported as the attorney demonstrated sufficient knowledge of the circumstances of Atwell’s trial. He denied any prosecution knowledge of any prior record of the witnesses. The defense counsel stated that he was not aware of any prior convictions of the state witnesses, although he said defendants (Atwell and Harvey) “do believe there was prior arrests, but not any prior convictions.” Atwell simply did not make out a Brady or Agurs violation at his state hearing. There was no evidence or tender of evidence that any of the witnesses had any convictions or arrests. So far as the record reflects, this was purely unsupported, general speculation on the part of the defense.11
Atwell also challenges the trial court’s denial of his request for prior arrest and conviction records of potential jurors. The Louisiana Supreme Court, accepting as true Atwell’s allegations that the state had this information and intended to use it in jury selection, and that he could not obtain it from other sources, held that Atwell was entitled either to be given the information or to question the prospective jurors. Finding no indication that Atwell was demed the right to question prospective jurors, the Louisiana Supreme Court affirmed the trial court’s decision. 358 So.2d at 1230-32. We find that Atwell has failed to establish that this information would be material to his case. He does not assert that he was prevented from questioning the prospective jurors. In addition, he has failed to allege any facts supporting his claim that some prospective jurors had criminal records and that this information was suppressed by the state.
Finally, Atwell also asserts a due process violation in the trial court’s denial of his motion to examine the prior voting records of prospective jurors, which was affirmed by the Louisiana Supreme Court. 358 So.2d at 1231. Again, Atwell has not established that this information would be material to his case or that he was unable to obtain this information on the jury voir dire. Accordingly, we find that Atwell has not established a due process violation.
Conclusion
Finding that Atwell’s claims are without merit, we affirm the district court’s denial of the writ of habeas corpus.
AFFIRMED.