%0 Journal Article %T ON JUSTESENS ALGEBRAIC GEOMETRY CODES
关于Justesen代数几何码 %A Lu Peizhong %A Song Guowen %A
陆佩忠 %A 宋国文 %J 电子与信息学报 %D 1992 %I %X An isomorphism preserving Hamming weight between two algebraic geometry (AG) codes is presented to obtain the main parameters of Justesen's algebraic geometry (JAG) codes. To deduce a simple approach to the decoding algorithm, a code word in a "small" JAG code is used to correspond to error-locator polynomial. By this means, a simple decoding procedure and the ability of error correcting are explored obviously. The low and up bounds of the dimension of AG codes are also obtained. %K Algebraic geometry codes %K Error-locator polynomial %K Syndrome matrix %K Riemann-Roch theorem
代数几何码 %K 错误位置多项式 %K 伴随式矩阵 %K Riemann-Roch定理 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=09D1EACDE7550446&yid=F53A2717BDB04D52&vid=F3583C8E78166B9E&iid=B31275AF3241DB2D&sid=3B2BF7AC5674E8E2&eid=44E78A5D1B37D836&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=0&reference_num=4