Information on Result #896799
Linear OOA(8161, 16434, F8, 2, 31) (dual of [(16434, 2), 32707, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(824, 45, F8, 2, 15) (dual of [(45, 2), 66, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,74P) [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using
- linear OOA(8137, 16389, F8, 2, 31) (dual of [(16389, 2), 32641, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 32778, F8, 31) (dual of [32778, 32641, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, 32779, F8, 31) (dual of [32779, 32642, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(8136, 32768, F8, 31) (dual of [32768, 32632, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(8126, 32768, F8, 29) (dual of [32768, 32642, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(8137, 32779, F8, 31) (dual of [32779, 32642, 32]-code), using
- OOA 2-folding [i] based on linear OA(8137, 32778, F8, 31) (dual of [32778, 32641, 32]-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.