Information on Result #701369
Linear OA(723, 48, F7, 15) (dual of [48, 25, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 16
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(723, 48, F7, 14) (dual of [48, 25, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(758, 70, F7, 31) (dual of [70, 12, 32]-code) | [i] | Repeating Each Code Word | |
| 3 | Linear OA(729, 65, F7, 15) (dual of [65, 36, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(733, 62, F7, 18) (dual of [62, 29, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(734, 59, F7, 20) (dual of [59, 25, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(747, 72, F7, 26) (dual of [72, 25, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(750, 75, F7, 27) (dual of [75, 25, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(729, 62, F7, 15) (dual of [62, 33, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(745, 74, F7, 23) (dual of [74, 29, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(744, 71, F7, 23) (dual of [71, 27, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(747, 76, F7, 24) (dual of [76, 29, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(746, 73, F7, 24) (dual of [73, 27, 25]-code) | [i] | ✔ | |
| 13 | Linear OOA(723, 24, F7, 2, 15) (dual of [(24, 2), 25, 16]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(723, 16, F7, 3, 15) (dual of [(16, 3), 25, 16]-NRT-code) | [i] | ||