Information on Result #1734226
Digital (41, 55, 23105)-net over F16, using net defined by OOA based on linear OOA(1655, 23105, F16, 18, 14) (dual of [(23105, 18), 415835, 15]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1655, 92421, F16, 2, 14) (dual of [(92421, 2), 184787, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1655, 92424, F16, 2, 14) (dual of [(92424, 2), 184793, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1655, 92424, F16, 14) (dual of [92424, 92369, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1655, 131077, F16, 14) (dual of [131077, 131022, 15]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1654, 131076, F16, 14) (dual of [131076, 131022, 15]-code), using
- trace code [i] based on linear OA(25627, 65538, F256, 14) (dual of [65538, 65511, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(25625, 65536, F256, 13) (dual of [65536, 65511, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- trace code [i] based on linear OA(25627, 65538, F256, 14) (dual of [65538, 65511, 15]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1654, 131076, F16, 14) (dual of [131076, 131022, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1655, 131077, F16, 14) (dual of [131077, 131022, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1655, 92424, F16, 14) (dual of [92424, 92369, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(1655, 92424, F16, 2, 14) (dual of [(92424, 2), 184793, 15]-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.