Information on Result #1719200
Digital (129, 153, 10893)-net over F4, using net defined by OOA based on linear OOA(4153, 10893, F4, 27, 24) (dual of [(10893, 27), 293958, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4153, 43573, F4, 3, 24) (dual of [(43573, 3), 130566, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4153, 43576, F4, 3, 24) (dual of [(43576, 3), 130575, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4153, 43576, F4, 24) (dual of [43576, 43423, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4153, 65577, F4, 24) (dual of [65577, 65424, 25]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4152, 65576, F4, 24) (dual of [65576, 65424, 25]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(4145, 65537, F4, 25) (dual of [65537, 65392, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(4113, 65537, F4, 19) (dual of [65537, 65424, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4152, 65576, F4, 24) (dual of [65576, 65424, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4153, 65577, F4, 24) (dual of [65577, 65424, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4153, 43576, F4, 24) (dual of [43576, 43423, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(4153, 43576, F4, 3, 24) (dual of [(43576, 3), 130575, 25]-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.