Information on Result #1718558
Digital (163, 182, 2050547)-net over F4, using net defined by OOA based on linear OOA(4182, 2050547, F4, 21, 19) (dual of [(2050547, 21), 43061305, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4182, 6151642, F4, 3, 19) (dual of [(6151642, 3), 18454744, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4182, 6151644, F4, 3, 19) (dual of [(6151644, 3), 18454750, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4182, 6151644, F4, 19) (dual of [6151644, 6151462, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4182, large, F4, 19) (dual of [large, large−182, 20]-code), using
- 13 times code embedding in larger space [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 13 times code embedding in larger space [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4182, large, F4, 19) (dual of [large, large−182, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4182, 6151644, F4, 19) (dual of [6151644, 6151462, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(4182, 6151644, F4, 3, 19) (dual of [(6151644, 3), 18454750, 20]-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.