Information on Result #1802581
Digital (67, 103, 3678)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(16103, 3678, F16, 36) (dual of [3678, 3575, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(16103, 4108, F16, 36) (dual of [4108, 4005, 37]-code), using
- 1 times code embedding in larger space [i] based on linear OA(16102, 4107, F16, 36) (dual of [4107, 4005, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(32) [i] based on
- linear OA(16100, 4096, F16, 36) (dual of [4096, 3996, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(1691, 4096, F16, 33) (dual of [4096, 4005, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(162, 11, F16, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- construction X applied to Ce(35) ⊂ Ce(32) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(16102, 4107, F16, 36) (dual of [4107, 4005, 37]-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.