码率为2／3的大数逻辑可译二进制突发错误纠错码

Rate 2/3 Majority Logic Decodable Binary Burst Error-correcting Codes

采用构造码率为１／２的大数逻辑可译二进制突发错误纠错码的方法，提出了构造码率为２／３的（３ｍ，２ｍ）大数逻辑可译二进制突发错误纠错码，该码能够纠正所有长度小于等于ｂ（６＝［３（ｍ－１＋ｈ）／（１２＋ｈ）］，其中ｈ＝［（ｍ－１）１２／１２］）的闭环突发错误模式。

A new kind of rate 2/3 majority logic decodable binary burst error-correcting code isconstructed using the method of majority logic decodable binary burst error-correcting codeof constructing rate 1/2. This code can correct all the error patterns with quasicyclic bursterrors whose burst error length is less than or equal to b(b=[3(m-1+h)/(12+h)],whereh=[(m-1)_12/12]).The general method for constructing this kind of error-correcting codewith a different rate is discussed.