Information on Result #686028
Linear OA(749, 50, F7, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,7)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 74−1, defining interval I = [0,24], and minimum distance d ≥ |{−14,−3,8,…,14}|+1 = 50 (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(749, 50, F7, 48) (dual of [50, 1, 49]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(749, 50, F7, 47) (dual of [50, 1, 48]-code) | [i] | ||
| 3 | Linear OA(749, 50, F7, 46) (dual of [50, 1, 47]-code) | [i] | ||
| 4 | Linear OA(749, 50, F7, 45) (dual of [50, 1, 46]-code) | [i] | ||
| 5 | Linear OA(749, 50, F7, 44) (dual of [50, 1, 45]-code) | [i] | ||
| 6 | Linear OA(795, 172, F7, 49) (dual of [172, 77, 50]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(796, 178, F7, 49) (dual of [178, 82, 50]-code) | [i] | ||
| 8 | Linear OA(7102, 220, F7, 49) (dual of [220, 118, 50]-code) | [i] | ||
| 9 | Linear OA(771, 80, F7, 49) (dual of [80, 9, 50]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(767, 76, F7, 47) (dual of [76, 9, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(765, 74, F7, 46) (dual of [74, 9, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(759, 68, F7, 42) (dual of [68, 9, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(770, 79, F7, 49) (dual of [79, 9, 50]-code) | [i] | ✔ | |
| 14 | Linear OA(768, 77, F7, 48) (dual of [77, 9, 49]-code) | [i] | ✔ | |