Information on Result #1720412
Digital (145, 177, 2274)-net over F4, using net defined by OOA based on linear OOA(4177, 2274, F4, 39, 32) (dual of [(2274, 39), 88509, 33]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4177, 13645, F4, 3, 32) (dual of [(13645, 3), 40758, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4177, 13646, F4, 3, 32) (dual of [(13646, 3), 40761, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4177, 13646, F4, 32) (dual of [13646, 13469, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(4177, 16421, F4, 32) (dual of [16421, 16244, 33]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4176, 16420, F4, 32) (dual of [16420, 16244, 33]-code), using
- construction X applied to C([0,16]) ⊂ C([0,13]) [i] based on
- linear OA(4169, 16385, F4, 33) (dual of [16385, 16216, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4141, 16385, F4, 27) (dual of [16385, 16244, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 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([0,16]) ⊂ C([0,13]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4176, 16420, F4, 32) (dual of [16420, 16244, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(4177, 16421, F4, 32) (dual of [16421, 16244, 33]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4177, 13646, F4, 32) (dual of [13646, 13469, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(4177, 13646, F4, 3, 32) (dual of [(13646, 3), 40761, 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.