Information on Result #701530
Linear OA(744, 48, F7, 39) (dual of [48, 4, 40]-code), using the primitive cyclic code C(A) with length 48 = 72−1, defining set A = {0,1,2,3,4,5,6,8,9,10,11,12,13,16,17,18,19,20,24,25,26,33,34,41}, and minimum distance d ≥ |{−11,−6,−1,…,−13}|+1 = 40 (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 Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [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(764, 74, F7, 43) (dual of [74, 10, 44]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(762, 72, F7, 42) (dual of [72, 10, 43]-code) | [i] | ✔ | |
| 8 | Linear OOA(744, 24, F7, 2, 39) (dual of [(24, 2), 4, 40]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(744, 16, F7, 3, 39) (dual of [(16, 3), 4, 40]-NRT-code) | [i] | ||