Information on Result #684715
Linear OA(751, 16808, F7, 11) (dual of [16808, 16757, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound)
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(762, 16819, F7, 13) (dual of [16819, 16757, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(764, 16816, F7, 15) (dual of [16816, 16752, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(765, 16822, F7, 15) (dual of [16822, 16757, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(763, 16816, F7, 14) (dual of [16816, 16753, 15]-code) | [i] | ✔ | |
| 5 | Linear OA(752, 16819, F7, 11) (dual of [16819, 16767, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(778, 16835, F7, 17) (dual of [16835, 16757, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(793, 16850, F7, 19) (dual of [16850, 16757, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(7105, 16857, F7, 21) (dual of [16857, 16752, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(7105, 16858, F7, 21) (dual of [16858, 16753, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(792, 16843, F7, 19) (dual of [16843, 16751, 20]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 11 | Linear OA(791, 16841, F7, 19) (dual of [16841, 16750, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(782, 16842, F7, 17) (dual of [16842, 16760, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(752, 16820, F7, 11) (dual of [16820, 16768, 12]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |