Information on Result #1308153
Linear OA(4159, 5090, F4, 32) (dual of [5090, 4931, 33]-code), using 979 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, 46 times 0, 1, 68 times 0, 1, 98 times 0, 1, 130 times 0, 1, 163 times 0, 1, 189 times 0, 1, 210 times 0) based on linear OA(4144, 4096, F4, 32) (dual of [4096, 3952, 33]-code), using
- 1 times truncation [i] based on linear OA(4145, 4097, F4, 33) (dual of [4097, 3952, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(4159, 5090, F4, 2, 32) (dual of [(5090, 2), 10021, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4159, 5090, F4, 3, 32) (dual of [(5090, 3), 15111, 33]-NRT-code) | [i] | ||
| 3 | Digital (127, 159, 5090)-net over F4 | [i] | ||
| 4 | Linear OOA(4159, 2545, F4, 2, 32) (dual of [(2545, 2), 4931, 33]-NRT-code) | [i] | OOA Folding | |