Kasami, T. The weight enumerators for several classes of subcodes of the 2nd order binary Reed-Muller codes. (English) Zbl 0217.58802 Inf. Control 18, 369-394 (1971). Summary: In this paper explicit formulas for the weight enumerators for several classes of subcodes of the 2nd-order binary Reed-Muller codes are derived. A large set of the codes are shown to have the same weight enumerators. The classes of codes studied in this paper contain the \((0, 2)\)th-order Euclidean geometry codes and the codes studied by E. R. Berlekamp [Inf. Control 17, 485–500 (1970; Zbl 0211.51304)] as subclasses. Page: −5 −4 −3 −2 −1 ±0 +1 +2 Show Scanned Page Cited in 2 ReviewsCited in 87 Documents MSC: 94B15 Cyclic codes PDF BibTeX XML Cite \textit{T. Kasami}, Inf. Control 18, 369--394 (1971; Zbl 0217.58802) Full Text: DOI