Information on Result #1315922
Linear OA(6476, 4412, F64, 33) (dual of [4412, 4336, 34]-code), using 303 step Varšamov–Edel lengthening with (ri) = (6, 0, 0, 1, 5 times 0, 1, 16 times 0, 1, 36 times 0, 1, 79 times 0, 1, 159 times 0) based on linear OA(6465, 4098, F64, 33) (dual of [4098, 4033, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(31) [i] based on
- linear OA(6465, 4096, F64, 33) (dual of [4096, 4031, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- 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(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(6476, 4412, F64, 2, 33) (dual of [(4412, 2), 8748, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6476, 4412, F64, 3, 33) (dual of [(4412, 3), 13160, 34]-NRT-code) | [i] | ||
| 3 | Digital (43, 76, 4412)-net over F64 | [i] | ||
| 4 | Linear OOA(6476, 2206, F64, 2, 33) (dual of [(2206, 2), 4336, 34]-NRT-code) | [i] | OOA Folding | |