Information on Result #1729610
Digital (82, 112, 1028)-net over F8, using net defined by OOA based on linear OOA(8112, 1028, F8, 33, 30) (dual of [(1028, 33), 33812, 31]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8112, 5141, F8, 3, 30) (dual of [(5141, 3), 15311, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8112, 5142, F8, 3, 30) (dual of [(5142, 3), 15314, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8112, 5142, F8, 30) (dual of [5142, 5030, 31]-code), using
- 1035 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 38 times 0, 1, 117 times 0, 1, 221 times 0, 1, 301 times 0, 1, 346 times 0) [i] based on linear OA(8105, 4100, F8, 30) (dual of [4100, 3995, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(8105, 4096, F8, 30) (dual of [4096, 3991, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8101, 4096, F8, 29) (dual of [4096, 3995, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- 1035 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 38 times 0, 1, 117 times 0, 1, 221 times 0, 1, 301 times 0, 1, 346 times 0) [i] based on linear OA(8105, 4100, F8, 30) (dual of [4100, 3995, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8112, 5142, F8, 30) (dual of [5142, 5030, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(8112, 5142, F8, 3, 30) (dual of [(5142, 3), 15314, 31]-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.