Information on Result #685870
Linear OA(744, 48, F7, 39) (dual of [48, 4, 40]-code), using contraction based on linear OA(792, 96, F7, 79) (dual of [96, 4, 80]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(744, 48, F7, 38) (dual of [48, 4, 39]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(744, 48, F7, 37) (dual of [48, 4, 38]-code) | [i] | ||
| 3 | Linear OA(744, 48, F7, 36) (dual of [48, 4, 37]-code) | [i] | ||
| 4 | Linear OA(744, 48, F7, 35) (dual of [48, 4, 36]-code) | [i] | ||
| 5 | Linear OA(7102, 106, F7, 87) (dual of [106, 4, 88]-code) | [i] | Juxtaposition | |
| 6 | Linear OA(750, 58, F7, 38) (dual of [58, 8, 39]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(748, 56, F7, 37) (dual of [56, 8, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(753, 62, F7, 39) (dual of [62, 9, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(750, 59, F7, 37) (dual of [59, 9, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(747, 56, F7, 35) (dual of [56, 9, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(760, 71, F7, 39) (dual of [71, 11, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(754, 65, F7, 35) (dual of [65, 11, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(760, 73, F7, 38) (dual of [73, 13, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(760, 75, F7, 37) (dual of [75, 15, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(760, 76, F7, 36) (dual of [76, 16, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(761, 76, F7, 38) (dual of [76, 15, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 17 | Linear OA(761, 74, F7, 39) (dual of [74, 13, 40]-code) | [i] | ✔ | |
| 18 | Linear OA(755, 68, F7, 35) (dual of [68, 13, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(755, 66, F7, 36) (dual of [66, 11, 37]-code) | [i] | ✔ | |
| 20 | Linear OA(754, 63, F7, 40) (dual of [63, 9, 41]-code) | [i] | ✔ | |
| 21 | Linear OA(753, 61, F7, 40) (dual of [61, 8, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(751, 59, F7, 39) (dual of [59, 8, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(749, 57, F7, 38) (dual of [57, 8, 39]-code) | [i] | ✔ | |
| 24 | Linear OA(752, 60, F7, 40) (dual of [60, 8, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(751, 60, F7, 38) (dual of [60, 9, 39]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 26 | Linear OA(748, 57, F7, 36) (dual of [57, 9, 37]-code) | [i] | ✔ | |
| 27 | Linear OA(756, 66, F7, 37) (dual of [66, 10, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(753, 63, F7, 35) (dual of [63, 10, 36]-code) | [i] | ✔ | |
| 29 | Linear OA(759, 70, F7, 39) (dual of [70, 11, 40]-code) | [i] | ✔ | |
| 30 | Linear OA(758, 68, F7, 39) (dual of [68, 10, 40]-code) | [i] | ✔ | |
| 31 | Linear OA(754, 64, F7, 36) (dual of [64, 10, 37]-code) | [i] | ✔ | |
| 32 | Linear OA(761, 77, F7, 37) (dual of [77, 16, 38]-code) | [i] | ✔ | |
| 33 | Linear OOA(744, 24, F7, 2, 39) (dual of [(24, 2), 4, 40]-NRT-code) | [i] | OOA Folding | |
| 34 | Linear OOA(744, 16, F7, 3, 39) (dual of [(16, 3), 4, 40]-NRT-code) | [i] | ||