Information on Result #803871
Linear OOA(78, 7, F7, 2, 8) (dual of [(7, 2), 6, 9]-NRT-code), using Reed–Solomon NRT-code RS(2;6,7)
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(720, 12, F7, 2, 17) (dual of [(12, 2), 4, 18]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(718, 10, F7, 2, 17) (dual of [(10, 2), 2, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(728, 15, F7, 2, 26) (dual of [(15, 2), 2, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(738, 20, F7, 2, 35) (dual of [(20, 2), 2, 36]-NRT-code) | [i] | ||
| 5 | Linear OOA(748, 25, F7, 2, 44) (dual of [(25, 2), 2, 45]-NRT-code) | [i] | ||
| 6 | Linear OOA(758, 30, F7, 2, 53) (dual of [(30, 2), 2, 54]-NRT-code) | [i] | ||
| 7 | Linear OOA(768, 35, F7, 2, 62) (dual of [(35, 2), 2, 63]-NRT-code) | [i] | ||
| 8 | Linear OOA(778, 40, F7, 2, 71) (dual of [(40, 2), 2, 72]-NRT-code) | [i] | ||
| 9 | Linear OOA(788, 45, F7, 2, 80) (dual of [(45, 2), 2, 81]-NRT-code) | [i] | ||
| 10 | Linear OOA(798, 50, F7, 2, 89) (dual of [(50, 2), 2, 90]-NRT-code) | [i] | ||
| 11 | Linear OOA(7108, 55, F7, 2, 98) (dual of [(55, 2), 2, 99]-NRT-code) | [i] | ||
| 12 | Linear OOA(786, 49, F7, 2, 62) (dual of [(49, 2), 12, 63]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 13 | Linear OOA(767, 35, F7, 2, 59) (dual of [(35, 2), 3, 60]-NRT-code) | [i] | ||
| 14 | Linear OOA(776, 42, F7, 2, 59) (dual of [(42, 2), 8, 60]-NRT-code) | [i] | ||
| 15 | Linear OOA(784, 49, F7, 2, 59) (dual of [(49, 2), 14, 60]-NRT-code) | [i] | ||
| 16 | Linear OOA(773, 42, F7, 2, 53) (dual of [(42, 2), 11, 54]-NRT-code) | [i] | ||
| 17 | Linear OOA(780, 49, F7, 2, 53) (dual of [(49, 2), 18, 54]-NRT-code) | [i] | ||
| 18 | Linear OOA(779, 49, F7, 2, 51) (dual of [(49, 2), 19, 52]-NRT-code) | [i] | ||
| 19 | Linear OOA(772, 42, F7, 2, 49) (dual of [(42, 2), 12, 50]-NRT-code) | [i] | ||
| 20 | Linear OOA(778, 49, F7, 2, 49) (dual of [(49, 2), 20, 50]-NRT-code) | [i] | ||
| 21 | Linear OOA(771, 42, F7, 2, 48) (dual of [(42, 2), 13, 49]-NRT-code) | [i] | ||
| 22 | Linear OOA(777, 49, F7, 2, 48) (dual of [(49, 2), 21, 49]-NRT-code) | [i] | ||
| 23 | Linear OOA(761, 35, F7, 2, 44) (dual of [(35, 2), 9, 45]-NRT-code) | [i] | ||
| 24 | Linear OOA(768, 42, F7, 2, 44) (dual of [(42, 2), 16, 45]-NRT-code) | [i] | ||
| 25 | Linear OOA(774, 49, F7, 2, 44) (dual of [(49, 2), 24, 45]-NRT-code) | [i] | ||
| 26 | Linear OOA(767, 42, F7, 2, 43) (dual of [(42, 2), 17, 44]-NRT-code) | [i] | ||
| 27 | Linear OOA(773, 49, F7, 2, 43) (dual of [(49, 2), 25, 44]-NRT-code) | [i] | ||
| 28 | Linear OOA(759, 35, F7, 2, 41) (dual of [(35, 2), 11, 42]-NRT-code) | [i] | ||
| 29 | Linear OOA(765, 42, F7, 2, 41) (dual of [(42, 2), 19, 42]-NRT-code) | [i] | ||
| 30 | Linear OOA(770, 49, F7, 2, 41) (dual of [(49, 2), 28, 42]-NRT-code) | [i] | ||
| 31 | Linear OOA(755, 35, F7, 2, 35) (dual of [(35, 2), 15, 36]-NRT-code) | [i] | ||
| 32 | Linear OOA(760, 42, F7, 2, 35) (dual of [(42, 2), 24, 36]-NRT-code) | [i] | ||
| 33 | Linear OOA(764, 49, F7, 2, 35) (dual of [(49, 2), 34, 36]-NRT-code) | [i] | ||
| 34 | Linear OOA(753, 35, F7, 2, 34) (dual of [(35, 2), 17, 35]-NRT-code) | [i] | ||
| 35 | Linear OOA(758, 42, F7, 2, 34) (dual of [(42, 2), 26, 35]-NRT-code) | [i] | ||
| 36 | Linear OOA(762, 49, F7, 2, 34) (dual of [(49, 2), 36, 35]-NRT-code) | [i] | ||
| 37 | Linear OOA(757, 42, F7, 2, 32) (dual of [(42, 2), 27, 33]-NRT-code) | [i] | ||
| 38 | Linear OOA(761, 49, F7, 2, 32) (dual of [(49, 2), 37, 33]-NRT-code) | [i] | ||
| 39 | Linear OOA(750, 42, F7, 2, 26) (dual of [(42, 2), 34, 27]-NRT-code) | [i] | ||
| 40 | Linear OOA(766, 36, F7, 2, 53) (dual of [(36, 2), 6, 54]-NRT-code) | [i] | ||
| 41 | Linear OOA(772, 42, F7, 2, 51) (dual of [(42, 2), 12, 52]-NRT-code) | [i] | ||
| 42 | Linear OOA(771, 42, F7, 2, 49) (dual of [(42, 2), 13, 50]-NRT-code) | [i] | ||
| 43 | Linear OOA(755, 30, F7, 2, 44) (dual of [(30, 2), 5, 45]-NRT-code) | [i] | ||
| 44 | Linear OOA(762, 36, F7, 2, 44) (dual of [(36, 2), 10, 45]-NRT-code) | [i] | ||
| 45 | Linear OOA(761, 36, F7, 2, 43) (dual of [(36, 2), 11, 44]-NRT-code) | [i] | ||
| 46 | Linear OOA(760, 36, F7, 2, 41) (dual of [(36, 2), 12, 42]-NRT-code) | [i] | ||
| 47 | Linear OOA(750, 30, F7, 2, 35) (dual of [(30, 2), 10, 36]-NRT-code) | [i] | ||
| 48 | Linear OOA(755, 36, F7, 2, 35) (dual of [(36, 2), 17, 36]-NRT-code) | [i] | ||
| 49 | Linear OOA(759, 42, F7, 2, 35) (dual of [(42, 2), 25, 36]-NRT-code) | [i] | ||
| 50 | Linear OOA(754, 36, F7, 2, 34) (dual of [(36, 2), 18, 35]-NRT-code) | [i] | ||
| 51 | Linear OOA(753, 36, F7, 2, 32) (dual of [(36, 2), 19, 33]-NRT-code) | [i] | ||
| 52 | Linear OOA(754, 30, F7, 2, 43) (dual of [(30, 2), 6, 44]-NRT-code) | [i] | ||
| 53 | Linear OOA(760, 35, F7, 2, 43) (dual of [(35, 2), 10, 44]-NRT-code) | [i] | ||
| 54 | Linear OOA(754, 35, F7, 2, 35) (dual of [(35, 2), 16, 36]-NRT-code) | [i] | ||
| 55 | Linear OOA(744, 35, F7, 2, 24) (dual of [(35, 2), 26, 25]-NRT-code) | [i] | ||
| 56 | Linear OOA(743, 24, F7, 2, 35) (dual of [(24, 2), 5, 36]-NRT-code) | [i] | ||
| 57 | Linear OOA(758, 31, F7, 2, 50) (dual of [(31, 2), 4, 51]-NRT-code) | [i] | Juxtaposition for OOAs | |