Information on Result #1480079
Linear OOA(4172, 2169, F4, 3, 36) (dual of [(2169, 3), 6335, 37]-NRT-code), using OOA 2-folding based on linear OOA(4172, 4338, F4, 2, 36) (dual of [(4338, 2), 8504, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4172, 4339, F4, 2, 36) (dual of [(4339, 2), 8506, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4172, 4339, F4, 36) (dual of [4339, 4167, 37]-code), using
- 234 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 5 times 0, 1, 12 times 0, 1, 21 times 0, 1, 38 times 0, 1, 60 times 0, 1, 88 times 0) [i] based on linear OA(4162, 4095, F4, 36) (dual of [4095, 3933, 37]-code), using
- 1 times truncation [i] based on linear OA(4163, 4096, F4, 37) (dual of [4096, 3933, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- 1 times truncation [i] based on linear OA(4163, 4096, F4, 37) (dual of [4096, 3933, 38]-code), using
- 234 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 5 times 0, 1, 12 times 0, 1, 21 times 0, 1, 38 times 0, 1, 60 times 0, 1, 88 times 0) [i] based on linear OA(4162, 4095, F4, 36) (dual of [4095, 3933, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4172, 4339, F4, 36) (dual of [4339, 4167, 37]-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.