Information on Result #614484
Linear OA(7109, 117650, F7, 21) (dual of [117650, 117541, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 712−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound)
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, 84085, F7, 2, 21) (dual of [(84085, 2), 168061, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7109, 84085, F7, 3, 21) (dual of [(84085, 3), 252146, 22]-NRT-code) | [i] | ||
| 3 | Digital (88, 109, 84085)-net over F7 | [i] | ||
| 4 | Linear OA(7110, 117663, F7, 21) (dual of [117663, 117553, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |