Information on Result #858159
Linear OOA(16126, 2079, F16, 2, 38) (dual of [(2079, 2), 4032, 39]-NRT-code), using OOA 2-folding based on linear OA(16126, 4158, F16, 38) (dual of [4158, 4032, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(22) [i] based on
- linear OA(16106, 4096, F16, 38) (dual of [4096, 3990, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(1664, 4096, F16, 23) (dual of [4096, 4032, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(1620, 62, F16, 14) (dual of [62, 42, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1620, 64, F16, 14) (dual of [64, 44, 15]-code), using
- algebraic-geometric code AG(F,49P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- algebraic-geometric code AG(F,49P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- discarding factors / shortening the dual code based on linear OA(1620, 64, F16, 14) (dual of [64, 44, 15]-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.