Information on Result #1733164
Digital (106, 135, 11817)-net over F9, using net defined by OOA based on linear OOA(9135, 11817, F9, 33, 29) (dual of [(11817, 33), 389826, 30]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(9135, 59086, F9, 3, 29) (dual of [(59086, 3), 177123, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9135, 59088, F9, 3, 29) (dual of [(59088, 3), 177129, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9135, 59088, F9, 29) (dual of [59088, 58953, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(9126, 59049, F9, 29) (dual of [59049, 58923, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(99, 39, F9, 6) (dual of [39, 30, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 41, F9, 6) (dual of [41, 32, 7]-code), using
- a “GraCyc†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(99, 41, F9, 6) (dual of [41, 32, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9135, 59088, F9, 29) (dual of [59088, 58953, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(9135, 59088, F9, 3, 29) (dual of [(59088, 3), 177129, 30]-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.