Information on Result #1803159
Digital (94, 119, 946278)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(16119, 946278, F16, 25) (dual of [946278, 946159, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(16119, 1048594, F16, 25) (dual of [1048594, 1048475, 26]-code), using
- 1 times code embedding in larger space [i] based on linear OA(16118, 1048593, F16, 25) (dual of [1048593, 1048475, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(16116, 1048576, F16, 25) (dual of [1048576, 1048460, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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(162, 17, F16, 2) (dual of [17, 15, 3]-code or 17-arc in PG(1,16)), using
- extended Reed–Solomon code RSe(15,16) [i]
- Hamming code H(2,16) [i]
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(16118, 1048593, F16, 25) (dual of [1048593, 1048475, 26]-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.