Information on Result #1801374
Digital (38, 51, 97313)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1651, 97313, F16, 13) (dual of [97313, 97262, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1651, 131077, F16, 13) (dual of [131077, 131026, 14]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1650, 131076, F16, 13) (dual of [131076, 131026, 14]-code), using
- trace code [i] based on linear OA(25625, 65538, F256, 13) (dual of [65538, 65513, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- 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(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [i] based on
- trace code [i] based on linear OA(25625, 65538, F256, 13) (dual of [65538, 65513, 14]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1650, 131076, F16, 13) (dual of [131076, 131026, 14]-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.