Information on Result #610837
Linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-code), using extended quadratic residue code Qe(32,7)
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(716, 32, F7, 11) (dual of [32, 16, 12]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(717, 33, F7, 12) (dual of [33, 16, 13]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(718, 34, F7, 12) (dual of [34, 16, 13]-code) | [i] | ||
| 4 | Linear OA(719, 35, F7, 12) (dual of [35, 16, 13]-code) | [i] | ||
| 5 | Linear OA(715, 31, F7, 11) (dual of [31, 16, 12]-code) | [i] | Truncation | |
| 6 | Linear OA(714, 30, F7, 10) (dual of [30, 16, 11]-code) | [i] | ||
| 7 | Linear OA(713, 29, F7, 9) (dual of [29, 16, 10]-code) | [i] | ||
| 8 | Linear OA(712, 28, F7, 8) (dual of [28, 16, 9]-code) | [i] | ||
| 9 | Linear OA(711, 27, F7, 7) (dual of [27, 16, 8]-code) | [i] | ||
| 10 | Linear OA(745, 64, F7, 25) (dual of [64, 19, 26]-code) | [i] | (u, u+v)-Construction | |
| 11 | Linear OA(780, 375, F7, 25) (dual of [375, 295, 26]-code) | [i] | ||
| 12 | Linear OA(766, 75, F7, 46) (dual of [75, 9, 47]-code) | [i] | Juxtaposition | |
| 13 | Linear OA(765, 73, F7, 46) (dual of [73, 8, 47]-code) | [i] | ||
| 14 | Linear OA(773, 80, F7, 53) (dual of [80, 7, 54]-code) | [i] | ||
| 15 | Linear OA(766, 70, F7, 54) (dual of [70, 4, 55]-code) | [i] | ||
| 16 | Linear OA(762, 74, F7, 40) (dual of [74, 12, 41]-code) | [i] | Construction X with Cyclic Codes | |
| 17 | Linear OA(761, 75, F7, 38) (dual of [75, 14, 39]-code) | [i] | ||
| 18 | Linear OA(761, 76, F7, 37) (dual of [76, 15, 38]-code) | [i] | ||
| 19 | Linear OA(763, 71, F7, 45) (dual of [71, 8, 46]-code) | [i] | ||
| 20 | Linear OA(760, 71, F7, 39) (dual of [71, 11, 40]-code) | [i] | ||
| 21 | Linear OA(763, 72, F7, 44) (dual of [72, 9, 45]-code) | [i] | ||
| 22 | Linear OA(760, 73, F7, 38) (dual of [73, 13, 39]-code) | [i] | ||
| 23 | Linear OA(760, 75, F7, 37) (dual of [75, 15, 38]-code) | [i] | ||
| 24 | Linear OA(760, 76, F7, 36) (dual of [76, 16, 37]-code) | [i] | ||
| 25 | Linear OA(772, 79, F7, 53) (dual of [79, 7, 54]-code) | [i] | ||
| 26 | Linear OA(765, 74, F7, 46) (dual of [74, 9, 47]-code) | [i] | ||
| 27 | Linear OA(757, 78, F7, 32) (dual of [78, 21, 33]-code) | [i] | ||
| 28 | Linear OA(755, 78, F7, 30) (dual of [78, 23, 31]-code) | [i] | ||
| 29 | Linear OA(755, 76, F7, 31) (dual of [76, 21, 32]-code) | [i] | ||
| 30 | Linear OA(760, 74, F7, 38) (dual of [74, 14, 39]-code) | [i] | ||
| 31 | Linear OA(760, 72, F7, 39) (dual of [72, 12, 40]-code) | [i] | ||
| 32 | Linear OA(761, 76, F7, 38) (dual of [76, 15, 39]-code) | [i] | Construction XX with Cyclic Codes | |
| 33 | Linear OA(761, 74, F7, 39) (dual of [74, 13, 40]-code) | [i] | ||
| 34 | Linear OA(767, 78, F7, 44) (dual of [78, 11, 45]-code) | [i] | ||
| 35 | Linear OA(767, 77, F7, 45) (dual of [77, 10, 46]-code) | [i] | ||
| 36 | Linear OA(768, 79, F7, 45) (dual of [79, 11, 46]-code) | [i] | ||
| 37 | Linear OA(763, 76, F7, 39) (dual of [76, 13, 40]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 38 | Linear OA(763, 78, F7, 38) (dual of [78, 15, 39]-code) | [i] | ||
| 39 | Linear OA(763, 77, F7, 39) (dual of [77, 14, 40]-code) | [i] | ||
| 40 | Linear OA(762, 75, F7, 39) (dual of [75, 13, 40]-code) | [i] | ||
| 41 | Linear OA(762, 77, F7, 38) (dual of [77, 15, 39]-code) | [i] | ||
| 42 | Linear OA(764, 73, F7, 45) (dual of [73, 9, 46]-code) | [i] | ||
| 43 | Linear OA(761, 77, F7, 37) (dual of [77, 16, 38]-code) | [i] | ||
| 44 | Linear OA(764, 72, F7, 46) (dual of [72, 8, 47]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 45 | Linear OA(756, 76, F7, 32) (dual of [76, 20, 33]-code) | [i] | ||
| 46 | Linear OA(764, 79, F7, 39) (dual of [79, 15, 40]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 47 | Linear OA(763, 79, F7, 38) (dual of [79, 16, 39]-code) | [i] | ||
| 48 | Linear OA(766, 81, F7, 40) (dual of [81, 15, 41]-code) | [i] | ||
| 49 | Linear OA(763, 78, F7, 39) (dual of [78, 15, 40]-code) | [i] | ||
| 50 | Linear OA(762, 76, F7, 39) (dual of [76, 14, 40]-code) | [i] | ||
| 51 | Linear OA(762, 78, F7, 38) (dual of [78, 16, 39]-code) | [i] | ||
| 52 | Linear OA(719, 36, F7, 12) (dual of [36, 17, 13]-code) | [i] | Construction X with Varšamov Bound | |
| 53 | Linear OOA(716, 16, F7, 2, 12) (dual of [(16, 2), 16, 13]-NRT-code) | [i] | OOA Folding | |
| 54 | Linear OOA(716, 10, F7, 3, 12) (dual of [(10, 3), 14, 13]-NRT-code) | [i] | ||