Information on Result #1315723
Linear OA(6421, 4399, F64, 9) (dual of [4399, 4378, 10]-code), using 297 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 33 times 0, 1, 258 times 0) based on linear OA(6417, 4098, F64, 9) (dual of [4098, 4081, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(6417, 4096, F64, 9) (dual of [4096, 4079, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(6415, 4096, F64, 8) (dual of [4096, 4081, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(6421, 4399, F64, 2, 9) (dual of [(4399, 2), 8777, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6421, 4399, F64, 3, 9) (dual of [(4399, 3), 13176, 10]-NRT-code) | [i] | ||
| 3 | Digital (12, 21, 4399)-net over F64 | [i] | ||
| 4 | Linear OOA(6421, 2199, F64, 2, 9) (dual of [(2199, 2), 4377, 10]-NRT-code) | [i] | OOA Folding | |