Information on Result #616317
Linear OA(1685, large, F16, 15) (dual of [large, large−85, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16777217 | 1612−1, 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(1685, large, F16, 14) (dual of [large, large−85, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(1685, large, F16, 13) (dual of [large, large−85, 14]-code) | [i] | ||
| 3 | Linear OA(1685, large, F16, 12) (dual of [large, large−85, 13]-code) | [i] | ||
| 4 | Linear OA(1685, large, F16, 11) (dual of [large, large−85, 12]-code) | [i] | ||
| 5 | Linear OA(1685, large, F16, 10) (dual of [large, large−85, 11]-code) | [i] | ||
| 6 | Linear OA(1685, large, F16, 9) (dual of [large, large−85, 10]-code) | [i] | ||
| 7 | Linear OA(1685, large, F16, 8) (dual of [large, large−85, 9]-code) | [i] | ||
| 8 | Linear OA(1685, large, F16, 7) (dual of [large, large−85, 8]-code) | [i] | ||
| 9 | Linear OA(1685, large, F16, 6) (dual of [large, large−85, 7]-code) | [i] | ||
| 10 | Linear OA(1685, large, F16, 5) (dual of [large, large−85, 6]-code) | [i] | ||
| 11 | Linear OA(1685, large, F16, 4) (dual of [large, large−85, 5]-code) | [i] | ||
| 12 | Linear OA(1685, large, F16, 3) (dual of [large, large−85, 4]-code) | [i] | ||
| 13 | Linear OA(1686, large, F16, 15) (dual of [large, large−86, 16]-code) | [i] | Code Embedding in Larger Space | |
| 14 | Linear OA(1687, large, F16, 15) (dual of [large, large−87, 16]-code) | [i] | ||
| 15 | Linear OA(1688, large, F16, 15) (dual of [large, large−88, 16]-code) | [i] | ||
| 16 | Linear OA(1689, large, F16, 15) (dual of [large, large−89, 16]-code) | [i] | ||
| 17 | Linear OA(1692, large, F16, 15) (dual of [large, large−92, 16]-code) | [i] | ||
| 18 | Linear OA(1693, large, F16, 15) (dual of [large, large−93, 16]-code) | [i] | ||
| 19 | Linear OA(1694, large, F16, 15) (dual of [large, large−94, 16]-code) | [i] | ||
| 20 | Linear OA(1695, large, F16, 15) (dual of [large, large−95, 16]-code) | [i] | ||
| 21 | Linear OA(1696, large, F16, 15) (dual of [large, large−96, 16]-code) | [i] | ||
| 22 | Linear OA(1698, large, F16, 15) (dual of [large, large−98, 16]-code) | [i] | ||
| 23 | Linear OA(1699, large, F16, 15) (dual of [large, large−99, 16]-code) | [i] | ||
| 24 | Linear OA(16100, large, F16, 15) (dual of [large, large−100, 16]-code) | [i] | ||
| 25 | Linear OA(16101, large, F16, 15) (dual of [large, large−101, 16]-code) | [i] | ||
| 26 | Linear OA(16102, large, F16, 15) (dual of [large, large−102, 16]-code) | [i] | ||
| 27 | Linear OA(16104, large, F16, 15) (dual of [large, large−104, 16]-code) | [i] | ||
| 28 | Linear OA(16105, large, F16, 15) (dual of [large, large−105, 16]-code) | [i] | ||
| 29 | Linear OA(16106, large, F16, 15) (dual of [large, large−106, 16]-code) | [i] | ||
| 30 | Linear OA(16107, large, F16, 15) (dual of [large, large−107, 16]-code) | [i] | ||
| 31 | Linear OA(16108, large, F16, 15) (dual of [large, large−108, 16]-code) | [i] | ||
| 32 | Linear OA(16110, large, F16, 15) (dual of [large, large−110, 16]-code) | [i] | ||
| 33 | Linear OA(16111, large, F16, 15) (dual of [large, large−111, 16]-code) | [i] | ||
| 34 | Linear OA(16112, large, F16, 15) (dual of [large, large−112, 16]-code) | [i] | ||
| 35 | Linear OA(16113, large, F16, 15) (dual of [large, large−113, 16]-code) | [i] | ||
| 36 | Linear OA(16114, large, F16, 15) (dual of [large, large−114, 16]-code) | [i] | ||
| 37 | Linear OA(16116, large, F16, 15) (dual of [large, large−116, 16]-code) | [i] | ||
| 38 | Linear OA(16117, large, F16, 15) (dual of [large, large−117, 16]-code) | [i] | ||
| 39 | Linear OA(16118, large, F16, 15) (dual of [large, large−118, 16]-code) | [i] | ||
| 40 | Linear OA(16119, large, F16, 15) (dual of [large, large−119, 16]-code) | [i] | ||
| 41 | Linear OA(16120, large, F16, 15) (dual of [large, large−120, 16]-code) | [i] | ||
| 42 | Linear OA(16122, large, F16, 15) (dual of [large, large−122, 16]-code) | [i] | ||
| 43 | Linear OA(16123, large, F16, 15) (dual of [large, large−123, 16]-code) | [i] | ||
| 44 | Linear OA(16124, large, F16, 15) (dual of [large, large−124, 16]-code) | [i] | ||
| 45 | Linear OA(16125, large, F16, 15) (dual of [large, large−125, 16]-code) | [i] | ||
| 46 | Linear OA(16126, large, F16, 15) (dual of [large, large−126, 16]-code) | [i] | ||
| 47 | Linear OA(16128, large, F16, 15) (dual of [large, large−128, 16]-code) | [i] | ||
| 48 | Linear OA(16129, large, F16, 15) (dual of [large, large−129, 16]-code) | [i] | ||
| 49 | Linear OA(16130, large, F16, 15) (dual of [large, large−130, 16]-code) | [i] | ||
| 50 | Linear OOA(1685, large, F16, 2, 15) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 51 | Digital (70, 85, large)-net over F16 | [i] | ||
| 52 | Linear OOA(1685, 4194301, F16, 2, 15) (dual of [(4194301, 2), 8388517, 16]-NRT-code) | [i] | OOA Folding | |
| 53 | Linear OOA(1685, 1198371, F16, 15, 15) (dual of [(1198371, 15), 17975480, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |