Information on Result #1716992
Digital (211, 249, 3446)-net over F3, using net defined by OOA based on linear OOA(3249, 3446, F3, 45, 38) (dual of [(3446, 45), 154821, 39]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3249, 13785, F3, 5, 38) (dual of [(13785, 5), 68676, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3249, 13786, F3, 5, 38) (dual of [(13786, 5), 68681, 39]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3249, 13786, F3, 38) (dual of [13786, 13537, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(3249, 19760, F3, 38) (dual of [19760, 19511, 39]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3247, 19758, F3, 38) (dual of [19758, 19511, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(28) [i] based on
- linear OA(3226, 19683, F3, 38) (dual of [19683, 19457, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(321, 75, F3, 8) (dual of [75, 54, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- construction X applied to Ce(37) ⊂ Ce(28) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3247, 19758, F3, 38) (dual of [19758, 19511, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(3249, 19760, F3, 38) (dual of [19760, 19511, 39]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3249, 13786, F3, 38) (dual of [13786, 13537, 39]-code), using
- discarding factors / shortening the dual code based on linear OOA(3249, 13786, F3, 5, 38) (dual of [(13786, 5), 68681, 39]-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.