Information on Result #1720838
Digital (184, 219, 6934)-net over F4, using net defined by OOA based on linear OOA(4219, 6934, F4, 39, 35) (dual of [(6934, 39), 270207, 36]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4219, 41605, F4, 3, 35) (dual of [(41605, 3), 124596, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4219, 41610, F4, 3, 35) (dual of [(41610, 3), 124611, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4219, 41610, F4, 35) (dual of [41610, 41391, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4219, 65579, F4, 35) (dual of [65579, 65360, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,14]) [i] based on
- linear OA(4209, 65537, F4, 35) (dual of [65537, 65328, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4177, 65537, F4, 29) (dual of [65537, 65360, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(410, 42, F4, 5) (dual of [42, 32, 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([0,17]) ⊂ C([0,14]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4219, 65579, F4, 35) (dual of [65579, 65360, 36]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4219, 41610, F4, 35) (dual of [41610, 41391, 36]-code), using
- discarding factors / shortening the dual code based on linear OOA(4219, 41610, F4, 3, 35) (dual of [(41610, 3), 124611, 36]-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.