Information on Result #1070863
Linear OOA(12873, 4193, F128, 4, 28) (dual of [(4193, 4), 16699, 29]-NRT-code), using OOA 2-folding based on linear OOA(12873, 8386, F128, 2, 28) (dual of [(8386, 2), 16699, 29]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12817, 192, F128, 2, 14) (dual of [(192, 2), 367, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,369P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OOA(12856, 8194, F128, 2, 28) (dual of [(8194, 2), 16332, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12856, 16388, F128, 28) (dual of [16388, 16332, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(12856, 16389, F128, 28) (dual of [16389, 16333, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(12856, 16389, F128, 28) (dual of [16389, 16333, 29]-code), using
- OOA 2-folding [i] based on linear OA(12856, 16388, F128, 28) (dual of [16388, 16332, 29]-code), using
- linear OOA(12817, 192, F128, 2, 14) (dual of [(192, 2), 367, 15]-NRT-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.