Information on Result #1195230
Digital (36, 51, 589)-net over F16, using net defined by OOA based on linear OOA(1651, 589, F16, 15, 15) (dual of [(589, 15), 8784, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(1651, 4124, F16, 15) (dual of [4124, 4073, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(1651, 4125, F16, 15) (dual of [4125, 4074, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(7) [i] based on
- linear OA(1643, 4096, F16, 15) (dual of [4096, 4053, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(1622, 4096, F16, 8) (dual of [4096, 4074, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(14) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(1651, 4125, F16, 15) (dual of [4125, 4074, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.