Information on Result #1803545
Digital (84, 129, 4115)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(16129, 4115, F16, 45) (dual of [4115, 3986, 46]-code), using
- 14 step Varšamov–Edel lengthening with (ri) = (2, 13 times 0) [i] based on linear OA(16127, 4099, F16, 45) (dual of [4099, 3972, 46]-code), using
- construction X applied to Ce(44) ⊂ Ce(43) [i] based on
- linear OA(16127, 4096, F16, 45) (dual of [4096, 3969, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(16124, 4096, F16, 44) (dual of [4096, 3972, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [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(44) ⊂ Ce(43) [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.