Information on Result #1481148
Linear OOA(4222, 2425, F4, 3, 47) (dual of [(2425, 3), 7053, 48]-NRT-code), using OOA 2-folding based on linear OOA(4222, 4850, F4, 2, 47) (dual of [(4850, 2), 9478, 48]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4222, 4851, F4, 2, 47) (dual of [(4851, 2), 9480, 48]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4222, 4851, F4, 47) (dual of [4851, 4629, 48]-code), using
- 738 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 8 times 0, 1, 19 times 0, 1, 37 times 0, 1, 61 times 0, 1, 89 times 0, 1, 111 times 0, 1, 126 times 0, 1, 134 times 0, 1, 141 times 0) [i] based on linear OA(4211, 4102, F4, 47) (dual of [4102, 3891, 48]-code), using
- construction X applied to Ce(46) ⊂ Ce(45) [i] based on
- linear OA(4211, 4096, F4, 47) (dual of [4096, 3885, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4205, 4096, F4, 46) (dual of [4096, 3891, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(46) ⊂ Ce(45) [i] based on
- 738 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 8 times 0, 1, 19 times 0, 1, 37 times 0, 1, 61 times 0, 1, 89 times 0, 1, 111 times 0, 1, 126 times 0, 1, 134 times 0, 1, 141 times 0) [i] based on linear OA(4211, 4102, F4, 47) (dual of [4102, 3891, 48]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4222, 4851, F4, 47) (dual of [4851, 4629, 48]-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.