Information on Result #1480823
Linear OOA(4203, 2072, F4, 3, 44) (dual of [(2072, 3), 6013, 45]-NRT-code), using OOA 2-folding based on linear OOA(4203, 4144, F4, 2, 44) (dual of [(4144, 2), 8085, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4203, 4145, F4, 2, 44) (dual of [(4145, 2), 8087, 45]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4203, 4145, F4, 44) (dual of [4145, 3942, 45]-code), using
- 45 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 5 times 0, 1, 12 times 0, 1, 23 times 0) [i] based on linear OA(4198, 4095, F4, 44) (dual of [4095, 3897, 45]-code), using
- 1 times truncation [i] based on linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using
- an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- 1 times truncation [i] based on linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using
- 45 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 5 times 0, 1, 12 times 0, 1, 23 times 0) [i] based on linear OA(4198, 4095, F4, 44) (dual of [4095, 3897, 45]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4203, 4145, F4, 44) (dual of [4145, 3942, 45]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.