Information on Result #1480936
Linear OOA(4211, 2241, F4, 3, 45) (dual of [(2241, 3), 6512, 46]-NRT-code), using OOA 2-folding based on linear OOA(4211, 4482, F4, 2, 45) (dual of [(4482, 2), 8753, 46]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4211, 4483, F4, 2, 45) (dual of [(4483, 2), 8755, 46]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4211, 4483, F4, 45) (dual of [4483, 4272, 46]-code), using
- 375 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 5 times 0, 1, 9 times 0, 1, 17 times 0, 1, 29 times 0, 1, 45 times 0, 1, 64 times 0, 1, 86 times 0, 1, 108 times 0) [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]
- 375 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 5 times 0, 1, 9 times 0, 1, 17 times 0, 1, 29 times 0, 1, 45 times 0, 1, 64 times 0, 1, 86 times 0, 1, 108 times 0) [i] based on linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4211, 4483, F4, 45) (dual of [4483, 4272, 46]-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.