Information on Result #1720542
Digital (225, 257, 91849)-net over F4, using net defined by OOA based on linear OOA(4257, 91849, F4, 39, 32) (dual of [(91849, 39), 3581854, 33]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4257, 551095, F4, 3, 32) (dual of [(551095, 3), 1653028, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4257, 551096, F4, 3, 32) (dual of [(551096, 3), 1653031, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4257, 551096, F4, 32) (dual of [551096, 550839, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(4257, 1048653, F4, 32) (dual of [1048653, 1048396, 33]-code), using
- construction X applied to C([0,16]) ⊂ C([0,12]) [i] based on
- linear OA(4241, 1048577, F4, 33) (dual of [1048577, 1048336, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(416, 76, F4, 6) (dual of [76, 60, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(416, 85, F4, 6) (dual of [85, 69, 7]-code), using
- construction X applied to C([0,16]) ⊂ C([0,12]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4257, 1048653, F4, 32) (dual of [1048653, 1048396, 33]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4257, 551096, F4, 32) (dual of [551096, 550839, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(4257, 551096, F4, 3, 32) (dual of [(551096, 3), 1653031, 33]-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.