Information on Result #1801964
Digital (55, 81, 5420)-net over F16, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1681, 5420, F16, 26) (dual of [5420, 5339, 27]-code), using
- 1313 step Varšamov–Edel lengthening with (ri) = (2, 1, 4 times 0, 1, 20 times 0, 1, 77 times 0, 1, 228 times 0, 1, 426 times 0, 1, 551 times 0) [i] based on linear OA(1673, 4099, F16, 26) (dual of [4099, 4026, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(1673, 4096, F16, 26) (dual of [4096, 4023, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1670, 4096, F16, 25) (dual of [4096, 4026, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(25) ⊂ Ce(24) [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.