Information on Result #1308873
Linear OA(4242, 4318, F4, 53) (dual of [4318, 4076, 54]-code), using 215 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 8 times 0, 1, 19 times 0, 1, 37 times 0, 1, 60 times 0, 1, 83 times 0) 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(4242, 4318, F4, 2, 53) (dual of [(4318, 2), 8394, 54]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4242, 4318, F4, 3, 53) (dual of [(4318, 3), 12712, 54]-NRT-code) | [i] | ||
| 3 | Digital (189, 242, 4318)-net over F4 | [i] | ||
| 4 | Linear OOA(4242, 2159, F4, 2, 53) (dual of [(2159, 2), 4076, 54]-NRT-code) | [i] | OOA Folding | |