Information on Result #1479568
Linear OOA(4141, 2183, F4, 3, 29) (dual of [(2183, 3), 6408, 30]-NRT-code), using OOA 2-folding based on linear OOA(4141, 4366, F4, 2, 29) (dual of [(4366, 2), 8591, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4141, 4367, F4, 2, 29) (dual of [(4367, 2), 8593, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4141, 4367, F4, 29) (dual of [4367, 4226, 30]-code), using
- 257 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 0, 0, 1, 4 times 0, 1, 6 times 0, 1, 11 times 0, 1, 18 times 0, 1, 27 times 0, 1, 40 times 0, 1, 58 times 0, 1, 80 times 0) [i] based on linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 257 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 0, 0, 1, 4 times 0, 1, 6 times 0, 1, 11 times 0, 1, 18 times 0, 1, 27 times 0, 1, 40 times 0, 1, 58 times 0, 1, 80 times 0) [i] based on linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4141, 4367, F4, 29) (dual of [4367, 4226, 30]-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.