Constructions of protocol sequences for multiple-access collision channel without feedback are given. These constructions are the extensions of those described by A, Gyorfi, and Massey (see ibid., vol.38, p. 940, May 1992). If the basic code in their constructions, a Reed-Solomon code, is replaced by a BCH code then the resulting protocol sequences have the feature that, for a given sum rate, the ratio of the total user population to the block length becomes much larger.
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