Information on Result #619297
Linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8157, large, F81, 14) (dual of [large, large−57, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8157, large, F81, 13) (dual of [large, large−57, 14]-code) | [i] | ||
| 3 | Linear OA(8157, large, F81, 12) (dual of [large, large−57, 13]-code) | [i] | ||
| 4 | Linear OA(8157, large, F81, 11) (dual of [large, large−57, 12]-code) | [i] | ||
| 5 | Linear OA(8157, large, F81, 10) (dual of [large, large−57, 11]-code) | [i] | ||
| 6 | Linear OA(8157, large, F81, 9) (dual of [large, large−57, 10]-code) | [i] | ||
| 7 | Linear OA(8157, large, F81, 8) (dual of [large, large−57, 9]-code) | [i] | ||
| 8 | Linear OA(8157, large, F81, 7) (dual of [large, large−57, 8]-code) | [i] | ||
| 9 | Linear OA(8157, large, F81, 6) (dual of [large, large−57, 7]-code) | [i] | ||
| 10 | Linear OA(8157, large, F81, 5) (dual of [large, large−57, 6]-code) | [i] | ||
| 11 | Linear OA(8157, large, F81, 4) (dual of [large, large−57, 5]-code) | [i] | ||
| 12 | Linear OA(8157, large, F81, 3) (dual of [large, large−57, 4]-code) | [i] | ||
| 13 | Linear OA(8158, large, F81, 15) (dual of [large, large−58, 16]-code) | [i] | Code Embedding in Larger Space | |
| 14 | Linear OA(8159, large, F81, 15) (dual of [large, large−59, 16]-code) | [i] | ||
| 15 | Linear OA(8160, large, F81, 15) (dual of [large, large−60, 16]-code) | [i] | ||
| 16 | Linear OA(8162, large, F81, 15) (dual of [large, large−62, 16]-code) | [i] | ||
| 17 | Linear OA(8163, large, F81, 15) (dual of [large, large−63, 16]-code) | [i] | ||
| 18 | Linear OA(8164, large, F81, 15) (dual of [large, large−64, 16]-code) | [i] | ||
| 19 | Linear OA(8166, large, F81, 15) (dual of [large, large−66, 16]-code) | [i] | ||
| 20 | Linear OA(8167, large, F81, 15) (dual of [large, large−67, 16]-code) | [i] | ||
| 21 | Linear OA(8168, large, F81, 15) (dual of [large, large−68, 16]-code) | [i] | ||
| 22 | Linear OA(8170, large, F81, 15) (dual of [large, large−70, 16]-code) | [i] | ||
| 23 | Linear OA(8171, large, F81, 15) (dual of [large, large−71, 16]-code) | [i] | ||
| 24 | Linear OA(8172, large, F81, 15) (dual of [large, large−72, 16]-code) | [i] | ||
| 25 | Linear OA(8174, large, F81, 15) (dual of [large, large−74, 16]-code) | [i] | ||
| 26 | Linear OA(8175, large, F81, 15) (dual of [large, large−75, 16]-code) | [i] | ||
| 27 | Linear OA(8176, large, F81, 15) (dual of [large, large−76, 16]-code) | [i] | ||
| 28 | Linear OA(8178, large, F81, 15) (dual of [large, large−78, 16]-code) | [i] | ||
| 29 | Linear OA(8179, large, F81, 15) (dual of [large, large−79, 16]-code) | [i] | ||
| 30 | Linear OA(8180, large, F81, 15) (dual of [large, large−80, 16]-code) | [i] | ||
| 31 | Linear OA(8182, large, F81, 15) (dual of [large, large−82, 16]-code) | [i] | ||
| 32 | Linear OOA(8157, large, F81, 2, 15) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 33 | Linear OOA(8157, large, F81, 3, 15) | [i] | ||
| 34 | Linear OOA(8157, large, F81, 4, 15) | [i] | ||
| 35 | Digital (42, 57, large)-net over F81 | [i] | ||
| 36 | Linear OOA(8157, 4194301, F81, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code) | [i] | OOA Folding | |
| 37 | Linear OOA(8157, 2796201, F81, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code) | [i] | ||
| 38 | Linear OOA(8157, 2097150, F81, 4, 15) (dual of [(2097150, 4), 8388543, 16]-NRT-code) | [i] | ||
| 39 | Linear OOA(8157, 1198371, F81, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |