Information on Result #1730866
Digital (32, 41, 29526)-net over F9, using net defined by OOA based on linear OOA(941, 29526, F9, 10, 9) (dual of [(29526, 10), 295219, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(941, 59053, F9, 2, 9) (dual of [(59053, 2), 118065, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(941, 59054, F9, 2, 9) (dual of [(59054, 2), 118067, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(941, 59054, F9, 9) (dual of [59054, 59013, 10]-code), using
- 1 times truncation [i] based on linear OA(942, 59055, F9, 10) (dual of [59055, 59013, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(936, 59049, F9, 8) (dual of [59049, 59013, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(91, 6, F9, 1) (dual of [6, 5, 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(9) ⊂ Ce(7) [i] based on
- 1 times truncation [i] based on linear OA(942, 59055, F9, 10) (dual of [59055, 59013, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(941, 59054, F9, 9) (dual of [59054, 59013, 10]-code), using
- discarding factors / shortening the dual code based on linear OOA(941, 59054, F9, 2, 9) (dual of [(59054, 2), 118067, 10]-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.