Information on Result #1718810
Digital (179, 200, 1336039)-net over F4, using net defined by OOA based on linear OOA(4200, 1336039, F4, 27, 21) (dual of [(1336039, 27), 36072853, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4200, 5344157, F4, 3, 21) (dual of [(5344157, 3), 16032271, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4200, 5344158, F4, 3, 21) (dual of [(5344158, 3), 16032274, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4200, 5344158, F4, 21) (dual of [5344158, 5343958, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4200, large, F4, 21) (dual of [large, large−200, 22]-code), using
- 19 times code embedding in larger space [i] based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 19 times code embedding in larger space [i] based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4200, large, F4, 21) (dual of [large, large−200, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4200, 5344158, F4, 21) (dual of [5344158, 5343958, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(4200, 5344158, F4, 3, 21) (dual of [(5344158, 3), 16032274, 22]-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.