Information on Result #1732568
Digital (83, 107, 11201)-net over F9, using net defined by OOA based on linear OOA(9107, 11201, F9, 27, 24) (dual of [(11201, 27), 302320, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9107, 44805, F9, 3, 24) (dual of [(44805, 3), 134308, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9107, 44808, F9, 3, 24) (dual of [(44808, 3), 134317, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9107, 44808, F9, 24) (dual of [44808, 44701, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(9107, 59060, F9, 24) (dual of [59060, 58953, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(996, 59049, F9, 22) (dual of [59049, 58953, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(9107, 59060, F9, 24) (dual of [59060, 58953, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9107, 44808, F9, 24) (dual of [44808, 44701, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(9107, 44808, F9, 3, 24) (dual of [(44808, 3), 134317, 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.