Information on Result #614328
Linear OA(782, large, F7, 11) (dual of [large, large−82, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 20176803 | 79−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(782, large, F7, 10) (dual of [large, large−82, 11]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(782, large, F7, 9) (dual of [large, large−82, 10]-code) | [i] | ||
| 3 | Linear OA(782, large, F7, 8) (dual of [large, large−82, 9]-code) | [i] | ||
| 4 | Linear OA(782, large, F7, 7) (dual of [large, large−82, 8]-code) | [i] | ||
| 5 | Linear OA(782, large, F7, 6) (dual of [large, large−82, 7]-code) | [i] | ||
| 6 | Linear OA(782, large, F7, 5) (dual of [large, large−82, 6]-code) | [i] | ||
| 7 | Linear OA(782, large, F7, 4) (dual of [large, large−82, 5]-code) | [i] | ||
| 8 | Linear OA(782, large, F7, 3) (dual of [large, large−82, 4]-code) | [i] | ||
| 9 | Linear OA(783, large, F7, 11) (dual of [large, large−83, 12]-code) | [i] | Code Embedding in Larger Space | |
| 10 | Linear OA(784, large, F7, 11) (dual of [large, large−84, 12]-code) | [i] | ||
| 11 | Linear OA(785, large, F7, 11) (dual of [large, large−85, 12]-code) | [i] | ||
| 12 | Linear OA(786, large, F7, 11) (dual of [large, large−86, 12]-code) | [i] | ||
| 13 | Linear OA(787, large, F7, 11) (dual of [large, large−87, 12]-code) | [i] | ||
| 14 | Linear OA(788, large, F7, 11) (dual of [large, large−88, 12]-code) | [i] | ||
| 15 | Linear OA(789, large, F7, 11) (dual of [large, large−89, 12]-code) | [i] | ||
| 16 | Linear OA(792, large, F7, 11) (dual of [large, large−92, 12]-code) | [i] | ||
| 17 | Linear OA(793, large, F7, 11) (dual of [large, large−93, 12]-code) | [i] | ||
| 18 | Linear OA(794, large, F7, 11) (dual of [large, large−94, 12]-code) | [i] | ||
| 19 | Linear OA(795, large, F7, 11) (dual of [large, large−95, 12]-code) | [i] | ||
| 20 | Linear OA(796, large, F7, 11) (dual of [large, large−96, 12]-code) | [i] | ||
| 21 | Linear OA(797, large, F7, 11) (dual of [large, large−97, 12]-code) | [i] | ||
| 22 | Linear OA(799, large, F7, 11) (dual of [large, large−99, 12]-code) | [i] | ||
| 23 | Linear OA(7101, large, F7, 11) (dual of [large, large−101, 12]-code) | [i] | ||
| 24 | Linear OA(7102, large, F7, 11) (dual of [large, large−102, 12]-code) | [i] | ||
| 25 | Linear OA(7103, large, F7, 11) (dual of [large, large−103, 12]-code) | [i] | ||
| 26 | Linear OA(7104, large, F7, 11) (dual of [large, large−104, 12]-code) | [i] | ||
| 27 | Linear OA(7105, large, F7, 11) (dual of [large, large−105, 12]-code) | [i] | ||
| 28 | Linear OA(7107, large, F7, 11) (dual of [large, large−107, 12]-code) | [i] | ||
| 29 | Linear OA(7110, large, F7, 11) (dual of [large, large−110, 12]-code) | [i] | ||
| 30 | Linear OOA(782, large, F7, 2, 11) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 31 | Linear OOA(782, large, F7, 3, 11) | [i] | ||
| 32 | Digital (71, 82, large)-net over F7 | [i] | ||
| 33 | Linear OOA(782, 4194301, F7, 2, 11) (dual of [(4194301, 2), 8388520, 12]-NRT-code) | [i] | OOA Folding | |