Information on Result #1494773
Linear OOA(6444, 2760, F64, 3, 18) (dual of [(2760, 3), 8236, 19]-NRT-code), using OOA 2-folding based on linear OOA(6444, 5520, F64, 2, 18) (dual of [(5520, 2), 10996, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6444, 5521, F64, 2, 18) (dual of [(5521, 2), 10998, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6444, 5521, F64, 18) (dual of [5521, 5477, 19]-code), using
- 1414 step Varšamov–Edel lengthening with (ri) = (4, 4 times 0, 1, 15 times 0, 1, 50 times 0, 1, 143 times 0, 1, 373 times 0, 1, 823 times 0) [i] based on linear OA(6435, 4098, F64, 18) (dual of [4098, 4063, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6433, 4096, F64, 17) (dual of [4096, 4063, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- 1414 step Varšamov–Edel lengthening with (ri) = (4, 4 times 0, 1, 15 times 0, 1, 50 times 0, 1, 143 times 0, 1, 373 times 0, 1, 823 times 0) [i] based on linear OA(6435, 4098, F64, 18) (dual of [4098, 4063, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6444, 5521, F64, 18) (dual of [5521, 5477, 19]-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.