Information on Result #735217
Linear OA(8173, 6745, F81, 27) (dual of [6745, 6672, 28]-code), using (u, u+v)-construction based on
- linear OA(8120, 182, F81, 13) (dual of [182, 162, 14]-code), using
- (u, u+v)-construction [i] based on
- linear OA(816, 82, F81, 6) (dual of [82, 76, 7]-code or 82-arc in PG(5,81)), using
- extended Reed–Solomon code RSe(76,81) [i]
- linear OA(8114, 100, F81, 13) (dual of [100, 86, 14]-code), using
- extended algebraic-geometric code AGe(F,86P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(816, 82, F81, 6) (dual of [82, 76, 7]-code or 82-arc in PG(5,81)), using
- (u, u+v)-construction [i] based on
- linear OA(8153, 6563, F81, 27) (dual of [6563, 6510, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- 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(8151, 6561, F81, 26) (dual of [6561, 6510, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(26) ⊂ Ce(25) [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.