Information on Result #1308463
Linear OA(4198, 5043, F4, 41) (dual of [5043, 4845, 42]-code), using 929 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 1, 0, 0, 1, 5 times 0, 1, 9 times 0, 1, 15 times 0, 1, 23 times 0, 1, 37 times 0, 1, 54 times 0, 1, 76 times 0, 1, 101 times 0, 1, 125 times 0, 1, 143 times 0, 1, 157 times 0, 1, 166 times 0) based on linear OA(4181, 4097, F4, 41) (dual of [4097, 3916, 42]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(4198, 5043, F4, 2, 41) (dual of [(5043, 2), 9888, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4198, 5043, F4, 3, 41) (dual of [(5043, 3), 14931, 42]-NRT-code) | [i] | ||
| 3 | Digital (157, 198, 5043)-net over F4 | [i] | ||