环F_2+vF_2上的GH-码和型Ⅱ码Generalized H-codes and Type Ⅱ Codes over F_2+vF_2
林新棋;张胜元;连广鑫;
摘要(Abstract)：
在环F2+vF2上定义了GH-码和GH-集对,并给出判别GH-码为型Ⅱ码的充分必要条件.
关键词(KeyWords)： Abelian码;GH-码;自偶码;型Ⅱ码;GH-集对
基金项目(Foundation): 福建省自然科学基金资助项目(JA04169);; 福建省教育厅基金资助项目(JB05331)
作者(Authors): 林新棋;张胜元;连广鑫;
参考文献(References)：
- [1]Hammons Jr A R,Kumar P V,Calderbank A R,et al.The Z4-linearty of kerdock,preparata,goethals and relatedcodes[J].IEEE Trans Inform Theory,1994,40:301-319.
- [2]Bonnecaze A,SoléP,Calderbank A R.Quaternary quadratic rasidue codes and unimodular lattices[J].IEEETrans Inform Theory,1995,41:366-377.
- [3]Camion P.Etude de codes binaries Abelian modulairs auto-duaux de petites longeurs[J].Rev Cethedec,1979,79(2):3-24.
- [4]Bhattacharya P.On a class of codes[J].Inform Sci,1984(33):173-179.
- [5]Wei R,Zhu L.Generalized H-codes and double even self-dual binary codes[J].Journal of Statistical Planning andInference,1996(51):387-393.
- [6]Macwillians F J,Sloane N J A.The theory of error-correcting codes[M].Amsterdam:North-Holland,1977.
- [7]Dougherty S T,Shiromoto K.Maximum distance codes over rings of order 4[J].IEEE Trans Inform Theory,2001,47:400-404.
- [8]Betsumiya K,Harada M.Optimal self-dual codes over F2+v F2[J].IEEE Trans Inform Theory,2004,50:356-358.