Information on Result #1728712
Digital (83, 107, 7256)-net over F8, using net defined by OOA based on linear OOA(8107, 7256, F8, 27, 24) (dual of [(7256, 27), 195805, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8107, 29025, F8, 3, 24) (dual of [(29025, 3), 86968, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8107, 29028, F8, 3, 24) (dual of [(29028, 3), 86977, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8107, 29028, F8, 24) (dual of [29028, 28921, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8107, 32779, F8, 24) (dual of [32779, 32672, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(8107, 32779, F8, 24) (dual of [32779, 32672, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8107, 29028, F8, 24) (dual of [29028, 28921, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(8107, 29028, F8, 3, 24) (dual of [(29028, 3), 86977, 25]-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.