Information on Result #1480826
Linear OOA(4206, 2180, F4, 3, 44) (dual of [(2180, 3), 6334, 45]-NRT-code), using OOA 2-folding based on linear OOA(4206, 4360, F4, 2, 44) (dual of [(4360, 2), 8514, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4206, 4361, F4, 2, 44) (dual of [(4361, 2), 8516, 45]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4206, 4361, F4, 44) (dual of [4361, 4155, 45]-code), using
- 258 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 5 times 0, 1, 12 times 0, 1, 23 times 0, 1, 43 times 0, 1, 69 times 0, 1, 98 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
- 258 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 5 times 0, 1, 12 times 0, 1, 23 times 0, 1, 43 times 0, 1, 69 times 0, 1, 98 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(4206, 4361, F4, 44) (dual of [4361, 4155, 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.