Information on Result #1730194
Digital (122, 157, 5465)-net over F8, using net defined by OOA based on linear OOA(8157, 5465, F8, 39, 35) (dual of [(5465, 39), 212978, 36]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(8157, 32791, F8, 3, 35) (dual of [(32791, 3), 98216, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8157, 32794, F8, 3, 35) (dual of [(32794, 3), 98225, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8157, 32794, F8, 35) (dual of [32794, 32637, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(29) [i] based on
- 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(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(86, 26, F8, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- construction X applied to Ce(34) ⊂ Ce(29) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8157, 32794, F8, 35) (dual of [32794, 32637, 36]-code), using
- discarding factors / shortening the dual code based on linear OOA(8157, 32794, F8, 3, 35) (dual of [(32794, 3), 98225, 36]-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.