Information on Result #614396
Linear OA(7109, large, F7, 15) (dual of [large, large−109, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 20176804 | 718−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(7109, large, F7, 14) (dual of [large, large−109, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(7109, large, F7, 13) (dual of [large, large−109, 14]-code) | [i] | ||
| 3 | Linear OA(7109, large, F7, 12) (dual of [large, large−109, 13]-code) | [i] | ||
| 4 | Linear OA(7109, large, F7, 11) (dual of [large, large−109, 12]-code) | [i] | ||
| 5 | Linear OA(7109, large, F7, 10) (dual of [large, large−109, 11]-code) | [i] | ||
| 6 | Linear OA(7109, large, F7, 9) (dual of [large, large−109, 10]-code) | [i] | ||
| 7 | Linear OA(7109, large, F7, 8) (dual of [large, large−109, 9]-code) | [i] | ||
| 8 | Linear OA(7109, large, F7, 7) (dual of [large, large−109, 8]-code) | [i] | ||
| 9 | Linear OA(7109, large, F7, 6) (dual of [large, large−109, 7]-code) | [i] | ||
| 10 | Linear OA(7109, large, F7, 5) (dual of [large, large−109, 6]-code) | [i] | ||
| 11 | Linear OA(7109, large, F7, 4) (dual of [large, large−109, 5]-code) | [i] | ||
| 12 | Linear OA(7109, large, F7, 3) (dual of [large, large−109, 4]-code) | [i] | ||
| 13 | Linear OA(7110, large, F7, 15) (dual of [large, large−110, 16]-code) | [i] | Code Embedding in Larger Space | |
| 14 | Linear OOA(7109, large, F7, 2, 15) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 15 | Linear OOA(7109, large, F7, 3, 15) | [i] | ||
| 16 | Digital (94, 109, large)-net over F7 | [i] | ||
| 17 | Linear OOA(7109, 4194301, F7, 2, 15) (dual of [(4194301, 2), 8388493, 16]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(7109, 2796201, F7, 3, 15) (dual of [(2796201, 3), 8388494, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(7109, 1198371, F7, 15, 15) (dual of [(1198371, 15), 17975456, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |