Information on Result #686093
Linear OA(748, 49, F7, 48) (dual of [49, 1, 49]-code or 49-arc in PG(47,7)), using an extension Ce(47) of 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.
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Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(748, 49, F7, 47) (dual of [49, 1, 48]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(748, 49, F7, 46) (dual of [49, 1, 47]-code) | [i] | ||
| 3 | Linear OA(748, 49, F7, 45) (dual of [49, 1, 46]-code) | [i] | ||
| 4 | Linear OA(748, 49, F7, 44) (dual of [49, 1, 45]-code) | [i] | ||
| 5 | Linear OA(748, 49, F7, 43) (dual of [49, 1, 44]-code) | [i] | ||
| 6 | Linear OA(783, 120, F7, 48) (dual of [120, 37, 49]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(784, 124, F7, 48) (dual of [124, 40, 49]-code) | [i] | ||
| 8 | Linear OA(791, 157, F7, 48) (dual of [157, 66, 49]-code) | [i] | ||
| 9 | Linear OA(7103, 242, F7, 48) (dual of [242, 139, 49]-code) | [i] | ||
| 10 | Linear OA(7108, 292, F7, 48) (dual of [292, 184, 49]-code) | [i] | ||
| 11 | Linear OA(768, 76, F7, 48) (dual of [76, 8, 49]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(766, 74, F7, 47) (dual of [74, 8, 48]-code) | [i] | ✔ | |
| 13 | Linear OA(764, 72, F7, 46) (dual of [72, 8, 47]-code) | [i] | ✔ | |
| 14 | Linear OA(758, 66, F7, 42) (dual of [66, 8, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(760, 68, F7, 43) (dual of [68, 8, 44]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |