Information on Result #701391
Linear OA(718, 48, F7, 11) (dual of [48, 30, 12]-code), using the primitive cyclic code C(A) with length 48 = 72−1, defining set A = {1,2,8,9,10,11,12,13,16,17}, and minimum distance d ≥ |{7,8,…,17}|+1 = 12 (BCH-bound)
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
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(7109, 392, F7, 35) (dual of [392, 283, 36]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(7103, 392, F7, 33) (dual of [392, 289, 34]-code) | [i] | ||
| 3 | Linear OA(797, 392, F7, 31) (dual of [392, 295, 32]-code) | [i] | ||
| 4 | Linear OA(735, 67, F7, 18) (dual of [67, 32, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(7109, 391, F7, 36) (dual of [391, 282, 37]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 6 | Linear OA(7100, 391, F7, 32) (dual of [391, 291, 33]-code) | [i] | ||