Information on Result #1712660
Digital (39, 49, 2693)-net over F3, using net defined by OOA based on linear OOA(349, 2693, F3, 15, 10) (dual of [(2693, 15), 40346, 11]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(349, 2694, F3, 5, 10) (dual of [(2694, 5), 13421, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(349, 2694, F3, 2, 10) (dual of [(2694, 2), 5339, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(349, 3280, F3, 2, 10) (dual of [(3280, 2), 6511, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(349, 6560, F3, 10) (dual of [6560, 6511, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using
- OOA 2-folding [i] based on linear OA(349, 6560, F3, 10) (dual of [6560, 6511, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(349, 3280, F3, 2, 10) (dual of [(3280, 2), 6511, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(349, 2694, F3, 2, 10) (dual of [(2694, 2), 5339, 11]-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.