—Let p be a prime and n a positive integer. Let ejp n 0 1 and N = p 01 e. In this paper, we construct a family S of e 2 N p-ary sequences, each member of S has period N and the magnitudes of correlations of members of S are upper bounded by 2 p p n = 2 p eN + 1.
In this paper, a home network message specification for white goods based on power line communication is proposed. It is designed for white goods such as air conditioners, refrigerators, washing machines, etc. The proposed home network message specification is composed of a virtual device service and a device-specific attribute. For practical… (More)
In this paper, we construct three binary linear codes $C(SO^+(2,q))$, $C(O^+(2,q))$, $C(SO^+(4,q))$, respectively associated with the orthogonal groups $SO^+(2,q)$, $O^+(2,q)$, $SO^+(4,q)$, with $q$ powers of two. Then we obtain recursive formulas for the power moments of Kloosterman and 2-dimensional Kloosterman sums in terms of the frequencies of weights… (More)
— In this paper, we construct the binary linear codes C(SL(n, q)) associated with finite special linear groups SL(n, q), with both n,q powers of two. Then, via Pless power moment identity and utilizing our previous result on the explicit expression of the Gauss sum for SL(n, q), we obtain a recursive formula for the power moments of multi-dimensional… (More)
Let P = n 1 1 ⊕ · · · ⊕ n t 1 be the poset given by the ordinal sum of the antichains n i 1 with n i elements. We derive MacWilliams-type identities for the fragment and sphere enumerators, relating enumerators for the dual C ⊥ of the linear code C on P and those for C on the dual posetˇP. The linear changes of variables appearing in the identities are… (More)