Information on Result #856684
Linear OOA(1661, 2063, F16, 2, 19) (dual of [(2063, 2), 4065, 20]-NRT-code), using OOA 2-folding based on linear OA(1661, 4126, F16, 19) (dual of [4126, 4065, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(10) [i] based on
- linear OA(1652, 4096, F16, 19) (dual of [4096, 4044, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(1631, 4096, F16, 11) (dual of [4096, 4065, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(169, 30, F16, 7) (dual of [30, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(169, 33, F16, 7) (dual of [33, 24, 8]-code), using
- extended algebraic-geometric code AGe(F,25P) [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(169, 33, F16, 7) (dual of [33, 24, 8]-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.