Information on Result #1720552
Digital (148, 181, 2156)-net over F4, using net defined by OOA based on linear OOA(4181, 2156, F4, 39, 33) (dual of [(2156, 39), 83903, 34]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4181, 12937, F4, 3, 33) (dual of [(12937, 3), 38630, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4181, 12939, F4, 3, 33) (dual of [(12939, 3), 38636, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4181, 12939, F4, 33) (dual of [12939, 12758, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(4181, 16425, F4, 33) (dual of [16425, 16244, 34]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4179, 16423, F4, 33) (dual of [16423, 16244, 34]-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(410, 38, F4, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to C([0,16]) ⊂ C([0,13]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(4179, 16423, F4, 33) (dual of [16423, 16244, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(4181, 16425, F4, 33) (dual of [16425, 16244, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4181, 12939, F4, 33) (dual of [12939, 12758, 34]-code), using
- discarding factors / shortening the dual code based on linear OOA(4181, 12939, F4, 3, 33) (dual of [(12939, 3), 38636, 34]-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.