Information on Result #701442
Linear OA(740, 48, F7, 32) (dual of [48, 8, 33]-code), using the primitive cyclic code C(A) with length 48 = 72−1, defining set A = {0,1,2,3,4,5,6,8,9,10,11,12,13,16,17,18,19,20,27,34,40,41}, and minimum distance d ≥ |{−8,−7,…,23}|+1 = 33 (BCH-bound)
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
- Contraction (with Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (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(786, 92, F7, 65) (dual of [92, 6, 66]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(785, 90, F7, 65) (dual of [90, 5, 66]-code) | [i] | ||
| 3 | Linear OA(797, 104, F7, 73) (dual of [104, 7, 74]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(752, 76, F7, 28) (dual of [76, 24, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(751, 74, F7, 28) (dual of [74, 23, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(758, 73, F7, 36) (dual of [73, 15, 37]-code) | [i] | ✔ | |
| 7 | Linear OOA(740, 24, F7, 2, 32) (dual of [(24, 2), 8, 33]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(740, 16, F7, 3, 32) (dual of [(16, 3), 8, 33]-NRT-code) | [i] | ||