Information on Result #1712394
Digital (36, 44, 3926)-net over F3, using net defined by OOA based on linear OOA(344, 3926, F3, 12, 8) (dual of [(3926, 12), 47068, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(344, 3927, F3, 4, 8) (dual of [(3927, 4), 15664, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(344, 3927, F3, 8) (dual of [3927, 3883, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(344, 6574, F3, 8) (dual of [6574, 6530, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(341, 6561, F3, 8) (dual of [6561, 6520, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(325, 6561, F3, 5) (dual of [6561, 6536, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, 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(344, 6574, F3, 8) (dual of [6574, 6530, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(344, 3927, F3, 8) (dual of [3927, 3883, 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.