Information on Result #658581
Linear OA(754, 58, F7, 47) (dual of [58, 4, 48]-code), using construction X applied to C1 ⊂ C2 with C1 a [50,1,49]-code based on
- linear OA(746, 50, F7, 41) (dual of [50, 4, 42]-code), using projective code from ovoid in PG(3, 7) [i]
- linear OA(75, 8, F7, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,7)), using
- extended Reed–Solomon code RSe(3,7) [i]
- the expurgated narrow-sense BCH-code C(I) with length 8 | 72−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
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(753, 57, F7, 46) (dual of [57, 4, 47]-code) | [i] | Truncation | |
| 2 | Linear OA(752, 56, F7, 45) (dual of [56, 4, 46]-code) | [i] | ||
| 3 | Linear OA(751, 55, F7, 44) (dual of [55, 4, 45]-code) | [i] | ||
| 4 | Linear OA(749, 53, F7, 42) (dual of [53, 4, 43]-code) | [i] | ||
| 5 | Linear OA(748, 52, F7, 41) (dual of [52, 4, 42]-code) | [i] | ||
| 6 | Linear OA(747, 51, F7, 40) (dual of [51, 4, 41]-code) | [i] | ||
| 7 | Linear OA(745, 49, F7, 38) (dual of [49, 4, 39]-code) | [i] | ||
| 8 | Linear OA(743, 47, F7, 36) (dual of [47, 4, 37]-code) | [i] | ||
| 9 | Linear OA(742, 46, F7, 35) (dual of [46, 4, 36]-code) | [i] | ||
| 10 | Linear OA(741, 45, F7, 34) (dual of [45, 4, 35]-code) | [i] | ||
| 11 | Linear OA(740, 44, F7, 33) (dual of [44, 4, 34]-code) | [i] | ||
| 12 | Linear OA(739, 43, F7, 32) (dual of [43, 4, 33]-code) | [i] | ||
| 13 | Linear OA(738, 42, F7, 31) (dual of [42, 4, 32]-code) | [i] | ||
| 14 | Linear OA(737, 41, F7, 30) (dual of [41, 4, 31]-code) | [i] | ||
| 15 | Linear OA(761, 65, F7, 51) (dual of [65, 4, 52]-code) | [i] | Juxtaposition | |
| 16 | Linear OA(762, 66, F7, 52) (dual of [66, 4, 53]-code) | [i] | ||
| 17 | Linear OA(799, 103, F7, 84) (dual of [103, 4, 85]-code) | [i] | ||
| 18 | Linear OA(7100, 104, F7, 85) (dual of [104, 4, 86]-code) | [i] | ||
| 19 | Linear OA(7101, 105, F7, 86) (dual of [105, 4, 87]-code) | [i] | ||
| 20 | Linear OA(7102, 106, F7, 87) (dual of [106, 4, 88]-code) | [i] | ||
| 21 | Linear OA(7103, 107, F7, 88) (dual of [107, 4, 89]-code) | [i] | ||
| 22 | Linear OA(7104, 108, F7, 89) (dual of [108, 4, 90]-code) | [i] | ||
| 23 | Linear OA(765, 69, F7, 54) (dual of [69, 4, 55]-code) | [i] | ||
| 24 | Linear OA(774, 78, F7, 62) (dual of [78, 4, 63]-code) | [i] | ||
| 25 | Linear OOA(754, 29, F7, 2, 47) (dual of [(29, 2), 4, 48]-NRT-code) | [i] | OOA Folding | |
| 26 | Linear OOA(754, 19, F7, 3, 47) (dual of [(19, 3), 3, 48]-NRT-code) | [i] | ||