EXTREMAL BINARY SELF-DUAL CODES OF LENGTHS 42 AND 44 WITH NEW WEIGHT ENUMERATORS
Daniel B. Dalan · Kyushu Journal of Mathematics · 2003
A paper of Conway and Sloane (J.H. Conway and N. J. A. Sloane.A new upper bound on the minimal distance of self-dual codes.IEEE Trans.Inform.Theory 36 (1990), 1319-1333) gives the putative weight enumerators of extremal self-dual binary codes for lengths n ≤ 64 and n = 72.The construction of such codes with putative weight enumerators has been one of the fundamental problems in coding theory.In this paper, we construct extremal self-dual binary [42, 21,8] and extremal self-dual binary [44, 22,8] codes whose weight enumerators are not yet known to exist.