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We give the necessary and sufficient conditions for the extendability
of ternary linear codes of dimension k ≥ 5 with minimum distance
d ≡ 1 or 2 (mod 3) from a geometrical point of view.
∗ This work was supported in part by the Bulgarian NSF under Grant MM-901/99In this paper we prove that up to equivalence there exist 158
binary [70, 35, 12] self-dual and 119 binary [72, 36, 12] self-dual doubly-even
codes all of which have an automorphism of order 23 and we present their
construction. All these codes are new.
Let nq(k, d) denote the smallest value of n for which an [n, k, d]q code exists for given integers k and d with k ≥ 3, 1 ≤ d ≤ q^(k−1)
and a prime or a prime power q. The purpose of this note is to show that there exists a series of the functions h3,q, h4,q, ..., hk,q
such that nq(k, d) can be expressed.This research was partially supported by Grant-in-Aid for Scientific Research of Japan
Society for the Promotion of Science under Contract Number 20540129.
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