Information on Result #1308697
Linear OA(4221, 4217, F4, 48) (dual of [4217, 3996, 49]-code), using 116 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 12 times 0, 1, 33 times 0, 1, 65 times 0) based on linear OA(4216, 4096, F4, 48) (dual of [4096, 3880, 49]-code), using
- 1 times truncation [i] based on linear OA(4217, 4097, F4, 49) (dual of [4097, 3880, 50]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [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(4221, 4217, F4, 2, 48) (dual of [(4217, 2), 8213, 49]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4221, 4217, F4, 3, 48) (dual of [(4217, 3), 12430, 49]-NRT-code) | [i] | ||
| 3 | Digital (173, 221, 4217)-net over F4 | [i] | ||
| 4 | Linear OOA(4221, 2108, F4, 2, 48) (dual of [(2108, 2), 3995, 49]-NRT-code) | [i] | OOA Folding | |