Information on Result #1308035
Linear OA(4115, 1144, F4, 29) (dual of [1144, 1029, 30]-code), using 111 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 5 times 0, 1, 10 times 0, 1, 19 times 0, 1, 29 times 0, 1, 39 times 0) based on linear OA(4106, 1024, F4, 29) (dual of [1024, 918, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(4115, 1144, F4, 2, 29) (dual of [(1144, 2), 2173, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4115, 1144, F4, 3, 29) (dual of [(1144, 3), 3317, 30]-NRT-code) | [i] | ||
| 3 | Digital (86, 115, 1144)-net over F4 | [i] | ||
| 4 | Linear OOA(4115, 572, F4, 2, 29) (dual of [(572, 2), 1029, 30]-NRT-code) | [i] | OOA Folding | |