Information on Result #609936
Linear OA(746, 50, F7, 41) (dual of [50, 4, 42]-code), using projective code from ovoid in PG(3, 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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(746, 50, F7, 40) (dual of [50, 4, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(746, 50, F7, 39) (dual of [50, 4, 40]-code) | [i] | ||
| 3 | Linear OA(746, 50, F7, 38) (dual of [50, 4, 39]-code) | [i] | ||
| 4 | Linear OA(746, 50, F7, 37) (dual of [50, 4, 38]-code) | [i] | ||
| 5 | Linear OA(747, 51, F7, 41) (dual of [51, 4, 42]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(745, 49, F7, 40) (dual of [49, 4, 41]-code) | [i] | Truncation | |
| 7 | Linear OA(743, 47, F7, 38) (dual of [47, 4, 39]-code) | [i] | ||
| 8 | Linear OA(742, 46, F7, 37) (dual of [46, 4, 38]-code) | [i] | ||
| 9 | Linear OA(741, 45, F7, 36) (dual of [45, 4, 37]-code) | [i] | ||
| 10 | Linear OA(740, 44, F7, 35) (dual of [44, 4, 36]-code) | [i] | ||
| 11 | Linear OA(739, 43, F7, 34) (dual of [43, 4, 35]-code) | [i] | ||
| 12 | Linear OA(738, 42, F7, 33) (dual of [42, 4, 34]-code) | [i] | ||
| 13 | Linear OA(737, 41, F7, 32) (dual of [41, 4, 33]-code) | [i] | ||
| 14 | Linear OA(736, 40, F7, 31) (dual of [40, 4, 32]-code) | [i] | ||
| 15 | Linear OA(735, 39, F7, 30) (dual of [39, 4, 31]-code) | [i] | ||
| 16 | Linear OA(734, 38, F7, 29) (dual of [38, 4, 30]-code) | [i] | ||
| 17 | Linear OA(733, 37, F7, 28) (dual of [37, 4, 29]-code) | [i] | ||
| 18 | Linear OA(732, 36, F7, 27) (dual of [36, 4, 28]-code) | [i] | ||
| 19 | Linear OA(731, 35, F7, 26) (dual of [35, 4, 27]-code) | [i] | ||
| 20 | Linear OA(730, 34, F7, 25) (dual of [34, 4, 26]-code) | [i] | ||
| 21 | Linear OA(729, 33, F7, 24) (dual of [33, 4, 25]-code) | [i] | ||
| 22 | Linear OA(728, 32, F7, 23) (dual of [32, 4, 24]-code) | [i] | ||
| 23 | Linear OA(727, 31, F7, 22) (dual of [31, 4, 23]-code) | [i] | ||
| 24 | Linear OA(750, 54, F7, 42) (dual of [54, 4, 43]-code) | [i] | Juxtaposition | |
| 25 | Linear OA(751, 55, F7, 43) (dual of [55, 4, 44]-code) | [i] | ||
| 26 | Linear OA(752, 56, F7, 44) (dual of [56, 4, 45]-code) | [i] | ||
| 27 | Linear OA(753, 57, F7, 45) (dual of [57, 4, 46]-code) | [i] | ||
| 28 | Linear OA(754, 58, F7, 46) (dual of [58, 4, 47]-code) | [i] | ||
| 29 | Linear OA(756, 60, F7, 47) (dual of [60, 4, 48]-code) | [i] | ||
| 30 | Linear OA(758, 62, F7, 48) (dual of [62, 4, 49]-code) | [i] | ||
| 31 | Linear OA(759, 63, F7, 49) (dual of [63, 4, 50]-code) | [i] | ||
| 32 | Linear OA(760, 64, F7, 50) (dual of [64, 4, 51]-code) | [i] | ||
| 33 | Linear OA(765, 69, F7, 53) (dual of [69, 4, 54]-code) | [i] | ||
| 34 | Linear OA(766, 70, F7, 54) (dual of [70, 4, 55]-code) | [i] | ||
| 35 | Linear OA(767, 71, F7, 55) (dual of [71, 4, 56]-code) | [i] | ||
| 36 | Linear OA(768, 72, F7, 56) (dual of [72, 4, 57]-code) | [i] | ||
| 37 | Linear OA(769, 73, F7, 57) (dual of [73, 4, 58]-code) | [i] | ||
| 38 | Linear OA(770, 74, F7, 58) (dual of [74, 4, 59]-code) | [i] | ||
| 39 | Linear OA(771, 75, F7, 59) (dual of [75, 4, 60]-code) | [i] | ||
| 40 | Linear OA(7104, 108, F7, 89) (dual of [108, 4, 90]-code) | [i] | ||
| 41 | Linear OA(7106, 110, F7, 90) (dual of [110, 4, 91]-code) | [i] | ||
| 42 | Linear OA(763, 67, F7, 53) (dual of [67, 4, 54]-code) | [i] | ||
| 43 | Linear OA(766, 70, F7, 55) (dual of [70, 4, 56]-code) | [i] | ||
| 44 | Linear OA(767, 71, F7, 56) (dual of [71, 4, 57]-code) | [i] | ||
| 45 | Linear OA(768, 72, F7, 57) (dual of [72, 4, 58]-code) | [i] | ||
| 46 | Linear OA(758, 62, F7, 49) (dual of [62, 4, 50]-code) | [i] | ||
| 47 | Linear OA(759, 63, F7, 50) (dual of [63, 4, 51]-code) | [i] | ||
| 48 | Linear OA(760, 64, F7, 51) (dual of [64, 4, 52]-code) | [i] | ||
| 49 | Linear OA(764, 68, F7, 54) (dual of [68, 4, 55]-code) | [i] | ||
| 50 | Linear OA(765, 69, F7, 55) (dual of [69, 4, 56]-code) | [i] | ||
| 51 | Linear OA(766, 70, F7, 56) (dual of [70, 4, 57]-code) | [i] | ||
| 52 | Linear OA(769, 73, F7, 58) (dual of [73, 4, 59]-code) | [i] | ||
| 53 | Linear OA(770, 74, F7, 59) (dual of [74, 4, 60]-code) | [i] | ||
| 54 | Linear OA(771, 75, F7, 60) (dual of [75, 4, 61]-code) | [i] | ||
| 55 | Linear OA(772, 76, F7, 61) (dual of [76, 4, 62]-code) | [i] | ||
| 56 | Linear OA(775, 79, F7, 63) (dual of [79, 4, 64]-code) | [i] | ||
| 57 | Linear OA(776, 80, F7, 64) (dual of [80, 4, 65]-code) | [i] | ||
| 58 | Linear OA(777, 81, F7, 65) (dual of [81, 4, 66]-code) | [i] | ||
| 59 | Linear OA(778, 82, F7, 66) (dual of [82, 4, 67]-code) | [i] | ||
| 60 | Linear OA(750, 54, F7, 43) (dual of [54, 4, 44]-code) | [i] | ✔ | Construction X with Ovoid |
| 61 | Linear OA(756, 60, F7, 48) (dual of [60, 4, 49]-code) | [i] | ✔ | |
| 62 | Linear OA(754, 58, F7, 47) (dual of [58, 4, 48]-code) | [i] | ✔ | |
| 63 | Linear OOA(746, 25, F7, 2, 41) (dual of [(25, 2), 4, 42]-NRT-code) | [i] | OOA Folding | |