Information on Result #701294
Linear OA(732, 48, F7, 23) (dual of [48, 16, 24]-code), using the primitive cyclic code C(A) with length 48 = 72−1, defining set A = {0,1,2,3,4,5,6,8,9,10,11,12,13,20,27,34,41}, and minimum distance d ≥ |{−7,−6,…,15}|+1 = 24 (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
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(732, 48, F7, 22) (dual of [48, 16, 23]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(732, 48, F7, 21) (dual of [48, 16, 22]-code) | [i] | ||
| 3 | Linear OA(777, 90, F7, 47) (dual of [90, 13, 48]-code) | [i] | Repeating Each Code Word | |
| 4 | Linear OA(776, 88, F7, 47) (dual of [88, 12, 48]-code) | [i] | ||
| 5 | Linear OA(775, 86, F7, 47) (dual of [86, 11, 48]-code) | [i] | ||
| 6 | Linear OA(774, 84, F7, 47) (dual of [84, 10, 48]-code) | [i] | ||
| 7 | Linear OA(742, 68, F7, 22) (dual of [68, 26, 23]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OOA(732, 24, F7, 2, 23) (dual of [(24, 2), 16, 24]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(732, 16, F7, 3, 23) (dual of [(16, 3), 16, 24]-NRT-code) | [i] | ||