Information on Result #1315863
Linear OA(6463, 4464, F64, 27) (dual of [4464, 4401, 28]-code), using 356 step Varšamov–Edel lengthening with (ri) = (5, 0, 0, 1, 6 times 0, 1, 16 times 0, 1, 38 times 0, 1, 90 times 0, 1, 198 times 0) based on linear OA(6453, 4098, F64, 27) (dual of [4098, 4045, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(6453, 4096, F64, 27) (dual of [4096, 4043, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(6463, 4464, F64, 2, 27) (dual of [(4464, 2), 8865, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6463, 4464, F64, 3, 27) (dual of [(4464, 3), 13329, 28]-NRT-code) | [i] | ||
| 3 | Digital (36, 63, 4464)-net over F64 | [i] | ||
| 4 | Linear OOA(6463, 2232, F64, 2, 27) (dual of [(2232, 2), 4401, 28]-NRT-code) | [i] | OOA Folding | |