Information on Result #614592
Linear OA(7109, 2401, F7, 32) (dual of [2401, 2292, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(7109, 2195, F7, 2, 32) (dual of [(2195, 2), 4281, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7109, 2195, F7, 3, 32) (dual of [(2195, 3), 6476, 33]-NRT-code) | [i] | ||
| 3 | Digital (77, 109, 2195)-net over F7 | [i] | ||
| 4 | Linear OA(7109, 2405, F7, 32) (dual of [2405, 2296, 33]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(7110, 2410, F7, 32) (dual of [2410, 2300, 33]-code) | [i] | ✔ | |