Information on Result #876608
Linear OOA(8145, 3331, F81, 2, 18) (dual of [(3331, 2), 6617, 19]-NRT-code), using OOA 2-folding based on linear OA(8145, 6662, F81, 18) (dual of [6662, 6617, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, 6663, F81, 18) (dual of [6663, 6618, 19]-code), using
- (u, u+v)-construction [i] based on
- linear OA(8110, 100, F81, 9) (dual of [100, 90, 10]-code), using
- extended algebraic-geometric code AGe(F,90P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(8135, 6563, F81, 18) (dual of [6563, 6528, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(8135, 6561, F81, 18) (dual of [6561, 6526, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(8133, 6561, F81, 17) (dual of [6561, 6528, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- linear OA(8110, 100, F81, 9) (dual of [100, 90, 10]-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.