Information on Result #1730418
Digital (131, 169, 4683)-net over F8, using net defined by OOA based on linear OOA(8169, 4683, F8, 45, 38) (dual of [(4683, 45), 210566, 39]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(8169, 32782, F8, 3, 38) (dual of [(32782, 3), 98177, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8169, 32786, F8, 3, 38) (dual of [(32786, 3), 98189, 39]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8169, 32786, F8, 38) (dual of [32786, 32617, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(34) [i] based on
- linear OA(8166, 32768, F8, 38) (dual of [32768, 32602, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(8151, 32768, F8, 35) (dual of [32768, 32617, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(83, 18, F8, 2) (dual of [18, 15, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- construction X applied to Ce(37) ⊂ Ce(34) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8169, 32786, F8, 38) (dual of [32786, 32617, 39]-code), using
- discarding factors / shortening the dual code based on linear OOA(8169, 32786, F8, 3, 38) (dual of [(32786, 3), 98189, 39]-NRT-code), using
Mode: 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.