Information on Result #1308586
Linear OA(4209, 4285, F4, 45) (dual of [4285, 4076, 46]-code), using 179 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 5 times 0, 1, 9 times 0, 1, 17 times 0, 1, 29 times 0, 1, 45 times 0, 1, 64 times 0) based on linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using
- an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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(4209, 4285, F4, 2, 45) (dual of [(4285, 2), 8361, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4209, 4285, F4, 3, 45) (dual of [(4285, 3), 12646, 46]-NRT-code) | [i] | ||
| 3 | Digital (164, 209, 4285)-net over F4 | [i] | ||
| 4 | Linear OOA(4209, 2142, F4, 2, 45) (dual of [(2142, 2), 4075, 46]-NRT-code) | [i] | OOA Folding | |