Information on Result #614316
Linear OA(718, 49, F7, 11) (dual of [49, 31, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(7106, 392, F7, 34) (dual of [392, 286, 35]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 2 | Linear OA(720, 51, F7, 12) (dual of [51, 31, 13]-code) | [i] | ✔ | |
| 3 | Linear OA(718, 51, F7, 11) (dual of [51, 33, 12]-code) | [i] | ✔ | |
| 4 | Linear OA(723, 54, F7, 13) (dual of [54, 31, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(719, 54, F7, 11) (dual of [54, 35, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(729, 60, F7, 16) (dual of [60, 31, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(727, 57, F7, 15) (dual of [57, 30, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(726, 57, F7, 14) (dual of [57, 31, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(720, 56, F7, 11) (dual of [56, 36, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(732, 63, F7, 17) (dual of [63, 31, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(735, 66, F7, 18) (dual of [66, 31, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(731, 62, F7, 17) (dual of [62, 31, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(731, 61, F7, 17) (dual of [61, 30, 18]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(728, 58, F7, 16) (dual of [58, 30, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(729, 61, F7, 15) (dual of [61, 32, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(732, 64, F7, 17) (dual of [64, 32, 18]-code) | [i] | ✔ | |