Double-byte error-correcting codes over GF(q) were constructed by Dumer (1981, 1988, 1992, 1995), which have the parameters n=q/sup m-1/, r/spl les/2m+[m-1/3], m=2, 3, ..., when q is even, and have the parameters n=q/sup m/, r/spl les/2m+[m/3]+1, m=2; 3, ..., when q is odd, respectively. We construct a class of double-byte error-correcting codes over GF(2/sup i/), which have the following parameters: n=q/sup m/, r/spl les/2m+[m/3]+1, m=3, 4, .... So our constructions reduce the code redundancy of Dumer by one symbol, and we eliminate the disparity in code redundancies obtained for even and odd q. A decoding procedure for our codes is also considered.
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机译：Dumer（1981，1988，1992，1995）构造了GF（q）上的双字节纠错码，其参数为n = q / sup m-1 /，r / spl les / 2m + [m-1 / 3]，当q为偶数时，m = 2、3，...，且参数为n = q / sup m /，r / spl les / 2m + [m / 3] + 1，m = 2； 3，...，当q为奇数时。我们在GF（2 / sup i /）上构造了一类双字节纠错码，其具有以下参数：n = q / sup m /，r / spl les / 2m + [m / 3] +1， m = 3，4，....因此，我们的构造将Dumer的代码冗余减少了一个符号，并且消除了偶数和奇数q所获得的代码冗余中的差异。还考虑了我们的代码的解码过程。
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