Information on Result #1734726
Digital (78, 98, 209721)-net over F16, using net defined by OOA based on linear OOA(1698, 209721, F16, 22, 20) (dual of [(209721, 22), 4613764, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(1698, 1048606, F16, 2, 20) (dual of [(1048606, 2), 2097114, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1698, 1048608, F16, 2, 20) (dual of [(1048608, 2), 2097118, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1698, 1048608, F16, 20) (dual of [1048608, 1048510, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(1691, 1048576, F16, 20) (dual of [1048576, 1048485, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(1666, 1048576, F16, 14) (dual of [1048576, 1048510, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(167, 32, F16, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(167, 241, F16, 5) (dual of [241, 234, 6]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1698, 1048608, F16, 20) (dual of [1048608, 1048510, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(1698, 1048608, F16, 2, 20) (dual of [(1048608, 2), 2097118, 21]-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.