Information on Result #1733446
Digital (88, 121, 1096)-net over F9, using net defined by OOA based on linear OOA(9121, 1096, F9, 39, 33) (dual of [(1096, 39), 42623, 34]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(9121, 6577, F9, 3, 33) (dual of [(6577, 3), 19610, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9121, 6581, F9, 3, 33) (dual of [(6581, 3), 19622, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9121, 6581, F9, 33) (dual of [6581, 6460, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(28) [i] based on
- linear OA(9117, 6561, F9, 33) (dual of [6561, 6444, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(9101, 6561, F9, 29) (dual of [6561, 6460, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(94, 20, F9, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,9)), using
- construction X applied to Ce(32) ⊂ Ce(28) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9121, 6581, F9, 33) (dual of [6581, 6460, 34]-code), using
- discarding factors / shortening the dual code based on linear OOA(9121, 6581, F9, 3, 33) (dual of [(6581, 3), 19622, 34]-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.