Information on Result #701392
Linear OA(716, 48, F7, 10) (dual of [48, 32, 11]-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}, and minimum distance d ≥ |{7,8,…,16}|+1 = 11 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(7107, 390, F7, 34) (dual of [390, 283, 35]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(7101, 390, F7, 32) (dual of [390, 289, 33]-code) | [i] | ||
| 3 | Linear OA(735, 67, F7, 18) (dual of [67, 32, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(7110, 386, F7, 37) (dual of [386, 276, 38]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 5 | Linear OA(7107, 386, F7, 36) (dual of [386, 279, 37]-code) | [i] | ||
| 6 | Linear OA(795, 386, F7, 31) (dual of [386, 291, 32]-code) | [i] | ||
| 7 | Linear OA(792, 386, F7, 30) (dual of [386, 294, 31]-code) | [i] | ||
| 8 | Linear OA(789, 386, F7, 29) (dual of [386, 297, 30]-code) | [i] | ||
| 9 | Linear OA(7107, 389, F7, 35) (dual of [389, 282, 36]-code) | [i] | ||
| 10 | Linear OA(7104, 389, F7, 34) (dual of [389, 285, 35]-code) | [i] | ||
| 11 | Linear OA(7101, 389, F7, 33) (dual of [389, 288, 34]-code) | [i] | ||