Information on Result #648712
Linear OA(2778, 116, F27, 55) (dual of [116, 38, 56]-code), using construction XX applied to AG(F,31P) ⊂ AG(F,45P) ⊂ AG(F,46P) based on
- linear OA(2764, 87, F27, 55) (dual of [87, 23, 56]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- linear OA(2750, 87, F27, 41) (dual of [87, 37, 42]-code), using algebraic-geometric code AG(F,45P) [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88 (see above)
- linear OA(2749, 87, F27, 40) (dual of [87, 38, 41]-code), using algebraic-geometric code AG(F,46P) [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88 (see above)
- linear OA(2713, 28, F27, 13) (dual of [28, 15, 14]-code or 28-arc in PG(12,27)), using
- extended Reed–Solomon code RSe(15,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.