Erratum to: On the support designs of extremal binary doubly even self-dual codes

Abstract

Several errors in the original publication of this article are noted. It has been corrected in this erratum. Theorem 4.2 In the proof of Theorem 4.2, the computation of F(63,4·63+4;[0,2,4,6,8,10,12,14]) 10321920 is incorrect. We exchange “Let D′′ be a self-orthogonal . . . (page 535, line 5 up)” to Let D′′ be a self-orthogonal 8-(24m, 4m + 4, λ8) design, where λ8 = (5m−2 m−1 ) (4m−1)(4m−2)(4m−3) (24m−5)(24m−6)(24m−7) . We set A u s = ∑4m+4 i=0 (i)sn i = (u)sλs for 0 ≤ s ≤ 8. For the design D′′, we have F(m, u; [x1, x2, x3, x4, x5, x6, x7, x8]) = 4m+4 ∑ i=0 (i − x1)(i − x2) . . . (i − x8)n i