Information on Result #685840
Linear OA(746, 48, F7, 41) (dual of [48, 2, 42]-code), using contraction based on linear OA(794, 96, F7, 83) (dual of [96, 2, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [0,81], and minimum distance d ≥ |{15,32,49,…,−31}|+1 = 84 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(756, 64, F7, 41) (dual of [64, 8, 42]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(756, 65, F7, 41) (dual of [65, 9, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(755, 63, F7, 41) (dual of [63, 8, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(763, 76, F7, 39) (dual of [76, 13, 40]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 5 | Linear OA(763, 78, F7, 38) (dual of [78, 15, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(757, 66, F7, 41) (dual of [66, 9, 42]-code) | [i] | ✔ | |
| 7 | Linear OOA(746, 16, F7, 3, 41) (dual of [(16, 3), 2, 42]-NRT-code) | [i] | OOA Folding | |