Information on Result #649936
Linear OA(2781, 124, F27, 56) (dual of [124, 43, 57]-code), using construction XX applied to AG(F,38P) ⊂ AG(F,52P) ⊂ AG(F,53P) based on
- linear OA(2767, 95, F27, 56) (dual of [95, 28, 57]-code), using algebraic-geometric code AG(F,38P) [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- linear OA(2753, 95, F27, 42) (dual of [95, 42, 43]-code), using algebraic-geometric code AG(F,52P) [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96 (see above)
- linear OA(2752, 95, F27, 41) (dual of [95, 43, 42]-code), using algebraic-geometric code AG(F,53P) [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96 (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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2781, 62, F27, 2, 56) (dual of [(62, 2), 43, 57]-NRT-code) | [i] | OOA Folding | |