Information on Result #1734912
Digital (85, 107, 174767)-net over F16, using net defined by OOA based on linear OOA(16107, 174767, F16, 26, 22) (dual of [(174767, 26), 4543835, 23]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(16107, 1048603, F16, 2, 22) (dual of [(1048603, 2), 2097099, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16107, 1048607, F16, 2, 22) (dual of [(1048607, 2), 2097107, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16107, 1048607, F16, 22) (dual of [1048607, 1048500, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(16101, 1048576, F16, 22) (dual of [1048576, 1048475, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(166, 31, F16, 4) (dual of [31, 25, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(166, 240, F16, 4) (dual of [240, 234, 5]-code), using
- 1 times truncation [i] based on linear OA(167, 241, F16, 5) (dual of [241, 234, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(166, 240, F16, 4) (dual of [240, 234, 5]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16107, 1048607, F16, 22) (dual of [1048607, 1048500, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(16107, 1048607, F16, 2, 22) (dual of [(1048607, 2), 2097107, 23]-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.