四元Goethals码的对偶码

Abstract. The trace representation of the dual of quaternary Goethals code δ(m) is given . It isproved that the shortened code of δ(m) is cyclic and its generators are shown.     

Subspace subcodes of generalized reed-solomon codes

1. IntroductionTlle subfield subcodes of RS Cud('s a11(l tl1" tra('e-sIlurtened RS codes are introducedill [1] al1d [2], respe(!tiv'lly. II1 [3] the subsI)acc subcodes ()f RS codes over GF(2"') areintrodllced, which caIl be rcgarded as a ge11eralizatio11 of the subfield subcodes of RS codesa11d tlle trace-shorte1led RS codes, a11d tl1c fOrll1ulas t() ('oIllI)llte tl1e diInensions of thesubsPace subc(,des ()f RS c()des ()ver GF(2"' ) are given. llut what we call get if, i11stead ()fR…     

Z4线性码的广义Mac Williams恒等式

本文讨论了Z4线性码的支集重量分布,并对类型为4^k1的Z4线性码,给出了联系它与对偶码的支集重量分布之间的广义MacWilliams恒等式。