Information on Result #1308848
Linear OA(4239, 4414, F4, 52) (dual of [4414, 4175, 53]-code), using 314 step Varšamov–Edel lengthening with (ri) = (1, 9 times 0, 1, 29 times 0, 1, 65 times 0, 1, 95 times 0, 1, 111 times 0) based on linear OA(4234, 4095, F4, 52) (dual of [4095, 3861, 53]-code), using
- 1 times truncation [i] based on linear OA(4235, 4096, F4, 53) (dual of [4096, 3861, 54]-code), using
- an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
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(4239, 4414, F4, 2, 52) (dual of [(4414, 2), 8589, 53]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4239, 4414, F4, 3, 52) (dual of [(4414, 3), 13003, 53]-NRT-code) | [i] | ||
| 3 | Digital (187, 239, 4414)-net over F4 | [i] | ||
| 4 | Linear OOA(4239, 2207, F4, 2, 52) (dual of [(2207, 2), 4175, 53]-NRT-code) | [i] | OOA Folding | |