Information on Result #1308146
Linear OA(4152, 4172, F4, 32) (dual of [4172, 4020, 33]-code), using 68 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) 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(4152, 4172, F4, 2, 32) (dual of [(4172, 2), 8192, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4152, 4172, F4, 3, 32) (dual of [(4172, 3), 12364, 33]-NRT-code) | [i] | ||
| 3 | Digital (120, 152, 4172)-net over F4 | [i] | ||
| 4 | Linear OOA(4152, 2086, F4, 2, 32) (dual of [(2086, 2), 4020, 33]-NRT-code) | [i] | OOA Folding | |