Information on Result #736553
Linear OA(764, 72, F7, 49) (dual of [72, 8, 50]-code), using a quasi-cyclic or quasi-twisted code by Daskalov and Gulliver
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(764, 72, F7, 48) (dual of [72, 8, 49]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(764, 72, F7, 47) (dual of [72, 8, 48]-code) | [i] | ||
| 3 | Linear OA(765, 73, F7, 49) (dual of [73, 8, 50]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(763, 71, F7, 48) (dual of [71, 8, 49]-code) | [i] | Truncation | |
| 5 | Linear OA(762, 70, F7, 47) (dual of [70, 8, 48]-code) | [i] | ||
| 6 | Linear OA(761, 69, F7, 46) (dual of [69, 8, 47]-code) | [i] | ||
| 7 | Linear OA(760, 68, F7, 45) (dual of [68, 8, 46]-code) | [i] | ||
| 8 | Linear OA(759, 67, F7, 44) (dual of [67, 8, 45]-code) | [i] | ||
| 9 | Linear OA(758, 66, F7, 43) (dual of [66, 8, 44]-code) | [i] | ||
| 10 | Linear OA(757, 65, F7, 42) (dual of [65, 8, 43]-code) | [i] | ||
| 11 | Linear OA(771, 82, F7, 49) (dual of [82, 11, 50]-code) | [i] | Varšamov–Edel Lengthening | |
| 12 | Linear OA(772, 84, F7, 49) (dual of [84, 12, 50]-code) | [i] | ||
| 13 | Linear OA(769, 78, F7, 49) (dual of [78, 9, 50]-code) | [i] | Construction X with Varšamov Bound | |
| 14 | Linear OA(770, 80, F7, 49) (dual of [80, 10, 50]-code) | [i] | ||
| 15 | Linear OOA(764, 36, F7, 2, 49) (dual of [(36, 2), 8, 50]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(764, 24, F7, 3, 49) (dual of [(24, 3), 8, 50]-NRT-code) | [i] | ||