Information on Result #867703
Linear OOA(2775, 61, F27, 2, 51) (dual of [(61, 2), 47, 52]-NRT-code), using OOA 2-folding based on linear OA(2775, 122, F27, 51) (dual of [122, 47, 52]-code), using
- construction XX applied to AG(F,41P) ⊂ AG(F,55P) ⊂ AG(F,56P) [i] based on
- linear OA(2761, 93, F27, 51) (dual of [93, 32, 52]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2747, 93, F27, 37) (dual of [93, 46, 38]-code), using algebraic-geometric code AG(F,55P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(2746, 93, F27, 36) (dual of [93, 47, 37]-code), using algebraic-geometric code AG(F,56P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (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.