Information on Result #712520
Linear OA(747, 48, F7, 47) (dual of [48, 1, 48]-code or 48-arc in PG(46,7)), using the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48
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
- Repetition Code [i]
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(747, 48, F7, 46) (dual of [48, 1, 47]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(747, 48, F7, 45) (dual of [48, 1, 46]-code) | [i] | ||
| 3 | Linear OA(747, 48, F7, 44) (dual of [48, 1, 45]-code) | [i] | ||
| 4 | Linear OA(747, 48, F7, 43) (dual of [48, 1, 44]-code) | [i] | ||
| 5 | Linear OA(747, 48, F7, 42) (dual of [48, 1, 43]-code) | [i] | ||
| 6 | Linear OA(787, 143, F7, 47) (dual of [143, 56, 48]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(7100, 230, F7, 47) (dual of [230, 130, 48]-code) | [i] | ||
| 8 | Linear OA(761, 70, F7, 43) (dual of [70, 9, 44]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(761, 69, F7, 44) (dual of [69, 8, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(763, 70, F7, 47) (dual of [70, 7, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(760, 67, F7, 45) (dual of [67, 7, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(757, 64, F7, 43) (dual of [64, 7, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(762, 70, F7, 45) (dual of [70, 8, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(759, 67, F7, 43) (dual of [67, 8, 44]-code) | [i] | ✔ | |