Information on Result #1307885
Linear OA(4117, 4216, F4, 24) (dual of [4216, 4099, 25]-code), using 111 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 4 times 0, 1, 9 times 0, 1, 17 times 0, 1, 28 times 0, 1, 44 times 0) based on linear OA(4108, 4096, F4, 24) (dual of [4096, 3988, 25]-code), using
- 1 times truncation [i] based on linear OA(4109, 4097, F4, 25) (dual of [4097, 3988, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(4117, 4216, F4, 2, 24) (dual of [(4216, 2), 8315, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4117, 4216, F4, 3, 24) (dual of [(4216, 3), 12531, 25]-NRT-code) | [i] | ||
| 3 | Digital (93, 117, 4216)-net over F4 | [i] | ||
| 4 | Linear OOA(4117, 2108, F4, 2, 24) (dual of [(2108, 2), 4099, 25]-NRT-code) | [i] | OOA Folding | |