Information on Result #614299
Linear OA(714, 49, F7, 9) (dual of [49, 35, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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(795, 16857, F7, 19) (dual of [16857, 16762, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(790, 16856, F7, 18) (dual of [16856, 16766, 19]-code) | [i] | ||
| 3 | Linear OA(7105, 16857, F7, 21) (dual of [16857, 16752, 22]-code) | [i] | Construction X with Cyclic Codes | |
| 4 | Linear OA(716, 51, F7, 10) (dual of [51, 35, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(714, 50, F7, 9) (dual of [50, 36, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(719, 54, F7, 11) (dual of [54, 35, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(716, 54, F7, 9) (dual of [54, 38, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(722, 57, F7, 12) (dual of [57, 35, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(717, 57, F7, 9) (dual of [57, 40, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(731, 65, F7, 16) (dual of [65, 34, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |