Information on Result #857384
Linear OOA(1687, 2062, F16, 2, 28) (dual of [(2062, 2), 4037, 29]-NRT-code), using OOA 2-folding based on linear OA(1687, 4124, F16, 28) (dual of [4124, 4037, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(1687, 4125, F16, 28) (dual of [4125, 4038, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(20) [i] based on
- linear OA(1679, 4096, F16, 28) (dual of [4096, 4017, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(1658, 4096, F16, 21) (dual of [4096, 4038, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(168, 29, F16, 6) (dual of [29, 21, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(168, 33, F16, 6) (dual of [33, 25, 7]-code), using
- extended algebraic-geometric code AGe(F,26P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(168, 33, F16, 6) (dual of [33, 25, 7]-code), using
- construction X applied to Ce(27) ⊂ Ce(20) [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.