Information on Result #733069
Linear OA(27105, 830, F27, 39) (dual of [830, 725, 40]-code), using (u, u+v)-construction based on
- linear OA(2731, 98, F27, 19) (dual of [98, 67, 20]-code), using
- construction X applied to AG(F,73P) ⊂ AG(F,76P) [i] based on
- linear OA(2729, 93, F27, 19) (dual of [93, 64, 20]-code), using algebraic-geometric code AG(F,73P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2726, 93, F27, 16) (dual of [93, 67, 17]-code), using algebraic-geometric code AG(F,76P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(272, 5, F27, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- construction X applied to AG(F,73P) ⊂ AG(F,76P) [i] based on
- linear OA(2774, 732, F27, 39) (dual of [732, 658, 40]-code), using
- construction XX applied to C1 = C([727,36]), C2 = C([0,37]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([727,37]) [i] based on
- linear OA(2772, 728, F27, 38) (dual of [728, 656, 39]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,36}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2772, 728, F27, 38) (dual of [728, 656, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2774, 728, F27, 39) (dual of [728, 654, 40]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,37}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2770, 728, F27, 37) (dual of [728, 658, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([727,36]), C2 = C([0,37]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([727,37]) [i] based on
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.