Information on Result #1715150
Digital (213, 236, 932067)-net over F3, using net defined by OOA based on linear OOA(3236, 932067, F3, 28, 23) (dual of [(932067, 28), 26097640, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3236, 2796202, F3, 4, 23) (dual of [(2796202, 4), 11184572, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3236, 2796204, F3, 4, 23) (dual of [(2796204, 4), 11184580, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3236, 2796204, F3, 3, 23) (dual of [(2796204, 3), 8388376, 24]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3235, 2796204, F3, 3, 23) (dual of [(2796204, 3), 8388377, 24]-NRT-code), using
- 3 times NRT-code embedding in larger space [i] based on linear OOA(3226, 2796201, F3, 3, 23) (dual of [(2796201, 3), 8388377, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- OOA 3-folding [i] based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- 3 times NRT-code embedding in larger space [i] based on linear OOA(3226, 2796201, F3, 3, 23) (dual of [(2796201, 3), 8388377, 24]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3235, 2796204, F3, 3, 23) (dual of [(2796204, 3), 8388377, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3236, 2796204, F3, 3, 23) (dual of [(2796204, 3), 8388376, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3236, 2796204, F3, 4, 23) (dual of [(2796204, 4), 11184580, 24]-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.