Information on Result #1479570
Linear OOA(4143, 2308, F4, 3, 29) (dual of [(2308, 3), 6781, 30]-NRT-code), using OOA 2-folding based on linear OOA(4143, 4616, F4, 2, 29) (dual of [(4616, 2), 9089, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4143, 4616, F4, 29) (dual of [4616, 4473, 30]-code), using
- 504 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, 1, 107 times 0, 1, 138 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]
- 504 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, 1, 107 times 0, 1, 138 times 0) [i] based on linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 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.