Information on Result #1803031
Digital (77, 116, 4769)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(16116, 4769, F16, 39) (dual of [4769, 4653, 40]-code), using
- 663 step Varšamov–Edel lengthening with (ri) = (2, 1, 6 times 0, 1, 28 times 0, 1, 95 times 0, 1, 216 times 0, 1, 312 times 0) [i] based on linear OA(16109, 4099, F16, 39) (dual of [4099, 3990, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(37) [i] based on
- linear OA(16109, 4096, F16, 39) (dual of [4096, 3987, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(16106, 4096, F16, 38) (dual of [4096, 3990, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(38) ⊂ Ce(37) [i] based on
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.