Information on Result #614757
Linear OA(787, 96, F7, 63) (dual of [96, 9, 64]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 64
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(787, 96, F7, 62) (dual of [96, 9, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(787, 96, F7, 61) (dual of [96, 9, 62]-code) | [i] | ||
| 3 | Linear OA(739, 48, F7, 31) (dual of [48, 9, 32]-code) | [i] | ✔ | Contraction (with Narrow-Sense BCH-Code) |
| 4 | Linear OA(789, 98, F7, 65) (dual of [98, 9, 66]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(795, 104, F7, 69) (dual of [104, 9, 70]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(796, 105, F7, 69) (dual of [105, 9, 70]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 7 | Linear OOA(787, 48, F7, 2, 63) (dual of [(48, 2), 9, 64]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(787, 32, F7, 3, 63) (dual of [(32, 3), 9, 64]-NRT-code) | [i] | ||