Information on Result #684349
Linear OA(516, 24, F5, 12) (dual of [24, 8, 13]-code), using contraction based on linear OA(588, 96, F5, 51) (dual of [96, 8, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 58−1, defining interval I = [0,47], and minimum distance d ≥ |{−3,−2,…,47}|+1 = 52 (BCH-bound) [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(538, 44, F5, 25) (dual of [44, 6, 26]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(537, 42, F5, 25) (dual of [42, 5, 26]-code) | [i] | ||
| 3 | Linear OA(558, 63, F5, 38) (dual of [63, 5, 39]-code) | [i] | ||
| 4 | Linear OA(520, 28, F5, 14) (dual of [28, 8, 15]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(527, 35, F5, 18) (dual of [35, 8, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(527, 36, F5, 18) (dual of [36, 9, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(520, 29, F5, 14) (dual of [29, 9, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(529, 37, F5, 19) (dual of [37, 8, 20]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 9 | Linear OA(523, 31, F5, 15) (dual of [31, 8, 16]-code) | [i] | ✔ | |
| 10 | Linear OOA(516, 12, F5, 2, 12) (dual of [(12, 2), 8, 13]-NRT-code) | [i] | OOA Folding | |