Information on Result #628283
Linear OA(742, large, F7, 6) (dual of [large, large−42, 7]-code), using trace code based on linear OA(4921, 5764801, F49, 6) (dual of [5764801, 5764780, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
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(742, large, F7, 5) (dual of [large, large−42, 6]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(742, large, F7, 4) (dual of [large, large−42, 5]-code) | [i] | ||
| 3 | Linear OA(742, large, F7, 3) (dual of [large, large−42, 4]-code) | [i] | ||
| 4 | Linear OA(743, large, F7, 6) (dual of [large, large−43, 7]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(744, large, F7, 6) (dual of [large, large−44, 7]-code) | [i] | ||
| 6 | Linear OA(745, large, F7, 6) (dual of [large, large−45, 7]-code) | [i] | ||
| 7 | Linear OA(747, large, F7, 6) (dual of [large, large−47, 7]-code) | [i] | ||
| 8 | Linear OA(748, large, F7, 6) (dual of [large, large−48, 7]-code) | [i] | ||
| 9 | Linear OA(749, large, F7, 6) (dual of [large, large−49, 7]-code) | [i] | ||
| 10 | Linear OA(751, large, F7, 6) (dual of [large, large−51, 7]-code) | [i] | ||
| 11 | Linear OA(752, large, F7, 6) (dual of [large, large−52, 7]-code) | [i] | ||
| 12 | Linear OA(753, large, F7, 6) (dual of [large, large−53, 7]-code) | [i] | ||
| 13 | Linear OA(756, large, F7, 6) (dual of [large, large−56, 7]-code) | [i] | ||
| 14 | Linear OA(757, large, F7, 6) (dual of [large, large−57, 7]-code) | [i] | ||
| 15 | Linear OA(758, large, F7, 6) (dual of [large, large−58, 7]-code) | [i] | ||
| 16 | Linear OA(759, large, F7, 6) (dual of [large, large−59, 7]-code) | [i] | ||
| 17 | Linear OA(760, large, F7, 6) (dual of [large, large−60, 7]-code) | [i] | ||
| 18 | Linear OA(761, large, F7, 6) (dual of [large, large−61, 7]-code) | [i] | ||
| 19 | Linear OA(762, large, F7, 6) (dual of [large, large−62, 7]-code) | [i] | ||
| 20 | Linear OA(763, large, F7, 6) (dual of [large, large−63, 7]-code) | [i] | ||
| 21 | Linear OA(765, large, F7, 6) (dual of [large, large−65, 7]-code) | [i] | ||
| 22 | Linear OA(766, large, F7, 6) (dual of [large, large−66, 7]-code) | [i] | ||
| 23 | Linear OA(767, large, F7, 6) (dual of [large, large−67, 7]-code) | [i] | ||
| 24 | Linear OA(768, large, F7, 6) (dual of [large, large−68, 7]-code) | [i] | ||
| 25 | Linear OA(769, large, F7, 6) (dual of [large, large−69, 7]-code) | [i] | ||
| 26 | Linear OA(770, large, F7, 6) (dual of [large, large−70, 7]-code) | [i] | ||
| 27 | Linear OA(771, large, F7, 6) (dual of [large, large−71, 7]-code) | [i] | ||
| 28 | Linear OA(772, large, F7, 6) (dual of [large, large−72, 7]-code) | [i] | ||
| 29 | Linear OA(774, large, F7, 6) (dual of [large, large−74, 7]-code) | [i] | ||
| 30 | Linear OA(775, large, F7, 6) (dual of [large, large−75, 7]-code) | [i] | ||
| 31 | Linear OA(776, large, F7, 6) (dual of [large, large−76, 7]-code) | [i] | ||
| 32 | Linear OA(777, large, F7, 6) (dual of [large, large−77, 7]-code) | [i] | ||
| 33 | Linear OA(778, large, F7, 6) (dual of [large, large−78, 7]-code) | [i] | ||
| 34 | Linear OA(779, large, F7, 6) (dual of [large, large−79, 7]-code) | [i] | ||
| 35 | Linear OA(780, large, F7, 6) (dual of [large, large−80, 7]-code) | [i] | ||
| 36 | Linear OA(781, large, F7, 6) (dual of [large, large−81, 7]-code) | [i] | ||
| 37 | Linear OA(783, large, F7, 6) (dual of [large, large−83, 7]-code) | [i] | ||
| 38 | Linear OA(784, large, F7, 6) (dual of [large, large−84, 7]-code) | [i] | ||
| 39 | Linear OA(785, large, F7, 6) (dual of [large, large−85, 7]-code) | [i] | ||
| 40 | Linear OA(786, large, F7, 6) (dual of [large, large−86, 7]-code) | [i] | ||
| 41 | Linear OA(787, large, F7, 6) (dual of [large, large−87, 7]-code) | [i] | ||
| 42 | Linear OA(788, large, F7, 6) (dual of [large, large−88, 7]-code) | [i] | ||
| 43 | Linear OA(789, large, F7, 6) (dual of [large, large−89, 7]-code) | [i] | ||
| 44 | Linear OA(792, large, F7, 6) (dual of [large, large−92, 7]-code) | [i] | ||
| 45 | Linear OA(793, large, F7, 6) (dual of [large, large−93, 7]-code) | [i] | ||
| 46 | Linear OA(794, large, F7, 6) (dual of [large, large−94, 7]-code) | [i] | ||
| 47 | Linear OA(795, large, F7, 6) (dual of [large, large−95, 7]-code) | [i] | ||
| 48 | Linear OA(796, large, F7, 6) (dual of [large, large−96, 7]-code) | [i] | ||
| 49 | Linear OA(797, large, F7, 6) (dual of [large, large−97, 7]-code) | [i] | ||
| 50 | Linear OA(799, large, F7, 6) (dual of [large, large−99, 7]-code) | [i] | ||
| 51 | Linear OA(7101, large, F7, 6) (dual of [large, large−101, 7]-code) | [i] | ||
| 52 | Linear OA(7102, large, F7, 6) (dual of [large, large−102, 7]-code) | [i] | ||
| 53 | Linear OA(7103, large, F7, 6) (dual of [large, large−103, 7]-code) | [i] | ||
| 54 | Linear OA(7104, large, F7, 6) (dual of [large, large−104, 7]-code) | [i] | ||
| 55 | Linear OA(7105, large, F7, 6) (dual of [large, large−105, 7]-code) | [i] | ||
| 56 | Linear OA(7107, large, F7, 6) (dual of [large, large−107, 7]-code) | [i] | ||
| 57 | Linear OA(7110, large, F7, 6) (dual of [large, large−110, 7]-code) | [i] | ||
| 58 | Linear OOA(742, large, F7, 2, 6) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 59 | Linear OOA(742, large, F7, 3, 6) | [i] | ||
| 60 | Digital (36, 42, large)-net over F7 | [i] | ||
| 61 | Linear OOA(742, 4194301, F7, 2, 6) (dual of [(4194301, 2), 8388560, 7]-NRT-code) | [i] | OOA Folding | |