Information on Result #735188
Linear OA(8177, 6725, F81, 29) (dual of [6725, 6648, 30]-code), using (u, u+v)-construction based on
- linear OA(8120, 162, F81, 14) (dual of [162, 142, 15]-code), using
- construction X applied to AG(F,144P) ⊂ AG(F,146P) [i] based on
- linear OA(8119, 159, F81, 14) (dual of [159, 140, 15]-code), using algebraic-geometric code AG(F,144P) [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- linear OA(8117, 159, F81, 12) (dual of [159, 142, 13]-code), using algebraic-geometric code AG(F,146P) [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,144P) ⊂ AG(F,146P) [i] based on
- linear OA(8157, 6563, F81, 29) (dual of [6563, 6506, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(8157, 6561, F81, 29) (dual of [6561, 6504, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 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(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(28) ⊂ Ce(27) [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.