Information on Result #991711
Linear OOA(8177, 2248, F81, 3, 28) (dual of [(2248, 3), 6667, 29]-NRT-code), using OOA 3-folding based on linear OA(8177, 6744, F81, 28) (dual of [6744, 6667, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(8177, 6745, F81, 28) (dual of [6745, 6668, 29]-code), using
- (u, u+v)-construction [i] based on
- linear OA(8122, 182, F81, 14) (dual of [182, 160, 15]-code), using
- (u, u+v)-construction [i] based on
- linear OA(817, 82, F81, 7) (dual of [82, 75, 8]-code or 82-arc in PG(6,81)), using
- extended Reed–Solomon code RSe(75,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(8115, 100, F81, 14) (dual of [100, 85, 15]-code), using
- extended algebraic-geometric code AGe(F,85P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(817, 82, F81, 7) (dual of [82, 75, 8]-code or 82-arc in PG(6,81)), using
- (u, u+v)-construction [i] based on
- linear OA(8155, 6563, F81, 28) (dual of [6563, 6508, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8153, 6561, F81, 27) (dual of [6561, 6508, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(8122, 182, F81, 14) (dual of [182, 160, 15]-code), using
- (u, u+v)-construction [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.