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On Existence of Good Self-Dual Quasi-Cyclic Codes

2004
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IEEE Transactions on Information Theory
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For a long time, asymptotically good self-dual codes have been known to exist. Asymptotically good 2-quasi-cyclic codes of rate 1 2 have also been known to exist for a long time. Recently, it was proved that there are binary self-dual 3-quasi-cyclic codes of length asymptotically meeting the Gilbert-Varshamov bound. Unlike 2-quasi-cyclic codes, which are defined to have a cyclic group of order 2 as a subgroup of their permutation group, the 3-quasi-cyclic codes are defined with a permutation

doi:10.1109/tit.2004.831855
fatcat:ikpv23jkkvhq3gjrwayfky5gie