Information on Result #1480937
Linear OOA(4212, 2305, F4, 3, 45) (dual of [(2305, 3), 6703, 46]-NRT-code), using OOA 2-folding based on linear OOA(4212, 4610, F4, 2, 45) (dual of [(4610, 2), 9008, 46]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4212, 4611, F4, 2, 45) (dual of [(4611, 2), 9010, 46]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4212, 4611, F4, 45) (dual of [4611, 4399, 46]-code), using
- 502 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, 1, 126 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]
- 502 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, 1, 126 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(4212, 4611, F4, 45) (dual of [4611, 4399, 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.