Information on Result #1731644
Digital (63, 80, 19690)-net over F9, using net defined by OOA based on linear OOA(980, 19690, F9, 21, 17) (dual of [(19690, 21), 413410, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(980, 59071, F9, 3, 17) (dual of [(59071, 3), 177133, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(980, 59073, F9, 3, 17) (dual of [(59073, 3), 177139, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(980, 59073, F9, 17) (dual of [59073, 58993, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(956, 59049, F9, 13) (dual of [59049, 58993, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,9)), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(980, 59073, F9, 17) (dual of [59073, 58993, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(980, 59073, F9, 3, 17) (dual of [(59073, 3), 177139, 18]-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.