Information on Result #627832
Linear OA(4122, 514, F4, 35) (dual of [514, 392, 36]-code), using trace code based on linear OA(1661, 257, F16, 35) (dual of [257, 196, 36]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
Mode: Constructive and 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 OA(4122, 514, F4, 34) (dual of [514, 392, 35]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4123, 515, F4, 35) (dual of [515, 392, 36]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4124, 516, F4, 35) (dual of [516, 392, 36]-code) | [i] | ||
| 4 | Linear OA(4125, 517, F4, 35) (dual of [517, 392, 36]-code) | [i] | ||
| 5 | Linear OA(4121, 513, F4, 34) (dual of [513, 392, 35]-code) | [i] | Truncation | |
| 6 | Linear OOA(4122, 257, F4, 2, 35) (dual of [(257, 2), 392, 36]-NRT-code) | [i] | OOA Folding | |