Information on Result #1315911
Linear OA(6474, 4441, F64, 32) (dual of [4441, 4367, 33]-code), using 332 step Varšamov–Edel lengthening with (ri) = (6, 0, 0, 1, 5 times 0, 1, 16 times 0, 1, 38 times 0, 1, 86 times 0, 1, 179 times 0) based on linear OA(6463, 4098, F64, 32) (dual of [4098, 4035, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(6463, 4096, F64, 32) (dual of [4096, 4033, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(6461, 4096, F64, 31) (dual of [4096, 4035, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(6474, 4441, F64, 2, 32) (dual of [(4441, 2), 8808, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6474, 4441, F64, 3, 32) (dual of [(4441, 3), 13249, 33]-NRT-code) | [i] | ||
| 3 | Digital (42, 74, 4441)-net over F64 | [i] | ||
| 4 | Linear OOA(6474, 2220, F64, 2, 32) (dual of [(2220, 2), 4366, 33]-NRT-code) | [i] | OOA Folding | |