Information on Result #1726910
Digital (24, 32, 4100)-net over F8, using net defined by OOA based on linear OOA(832, 4100, F8, 10, 8) (dual of [(4100, 10), 40968, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(832, 8201, F8, 2, 8) (dual of [(8201, 2), 16370, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(832, 8202, F8, 2, 8) (dual of [(8202, 2), 16372, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(832, 8202, F8, 8) (dual of [8202, 8170, 9]-code), using
- trace code [i] based on linear OA(6416, 4101, F64, 8) (dual of [4101, 4085, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(6415, 4096, F64, 8) (dual of [4096, 4081, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(6411, 4096, F64, 6) (dual of [4096, 4085, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- trace code [i] based on linear OA(6416, 4101, F64, 8) (dual of [4101, 4085, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(832, 8202, F8, 8) (dual of [8202, 8170, 9]-code), using
- discarding factors / shortening the dual code based on linear OOA(832, 8202, F8, 2, 8) (dual of [(8202, 2), 16372, 9]-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.