Information on Result #1712364
Digital (21, 29, 246)-net over F3, using net defined by OOA based on linear OOA(329, 246, F3, 12, 8) (dual of [(246, 12), 2923, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(329, 247, F3, 4, 8) (dual of [(247, 4), 959, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(329, 247, F3, 8) (dual of [247, 218, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(329, 256, F3, 8) (dual of [256, 227, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(326, 243, F3, 8) (dual of [243, 217, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(316, 243, F3, 5) (dual of [243, 227, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(329, 256, F3, 8) (dual of [256, 227, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(329, 247, F3, 8) (dual of [247, 218, 9]-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.