Information on Result #904693
Linear OOA(8174, 3513, F81, 2, 26) (dual of [(3513, 2), 6952, 27]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8123, 232, F81, 2, 13) (dual of [(232, 2), 441, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(818, 116, F81, 2, 6) (dual of [(116, 2), 224, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,225P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8115, 116, F81, 2, 13) (dual of [(116, 2), 217, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,218P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116 (see above)
- linear OOA(818, 116, F81, 2, 6) (dual of [(116, 2), 224, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8151, 3281, F81, 2, 26) (dual of [(3281, 2), 6511, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8151, 6562, F81, 26) (dual of [6562, 6511, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(8151, 6563, F81, 26) (dual of [6563, 6512, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- 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(8149, 6561, F81, 25) (dual of [6561, 6512, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(25) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(8151, 6563, F81, 26) (dual of [6563, 6512, 27]-code), using
- OOA 2-folding [i] based on linear OA(8151, 6562, F81, 26) (dual of [6562, 6511, 27]-code), using
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.