Information on Result #1733098
Digital (121, 149, 71294)-net over F9, using net defined by OOA based on linear OOA(9149, 71294, F9, 33, 28) (dual of [(71294, 33), 2352553, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(9149, 356471, F9, 3, 28) (dual of [(356471, 3), 1069264, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9149, 356473, F9, 3, 28) (dual of [(356473, 3), 1069270, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9149, 356473, F9, 28) (dual of [356473, 356324, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(9149, 531463, F9, 28) (dual of [531463, 531314, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(23) [i] based on
- linear OA(9145, 531441, F9, 28) (dual of [531441, 531296, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(94, 22, F9, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,9)), using
- construction X applied to Ce(27) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(9149, 531463, F9, 28) (dual of [531463, 531314, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9149, 356473, F9, 28) (dual of [356473, 356324, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(9149, 356473, F9, 3, 28) (dual of [(356473, 3), 1069270, 29]-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.