Information on Result #619301
Linear OA(8161, large, F81, 16) (dual of [large, large−61, 17]-code), using the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17
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(8161, large, F81, 15) (dual of [large, large−61, 16]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8161, large, F81, 14) (dual of [large, large−61, 15]-code) | [i] | ||
| 3 | Linear OA(8161, large, F81, 13) (dual of [large, large−61, 14]-code) | [i] | ||
| 4 | Linear OA(8161, large, F81, 12) (dual of [large, large−61, 13]-code) | [i] | ||
| 5 | Linear OA(8161, large, F81, 11) (dual of [large, large−61, 12]-code) | [i] | ||
| 6 | Linear OA(8161, large, F81, 10) (dual of [large, large−61, 11]-code) | [i] | ||
| 7 | Linear OA(8161, large, F81, 9) (dual of [large, large−61, 10]-code) | [i] | ||
| 8 | Linear OA(8161, large, F81, 8) (dual of [large, large−61, 9]-code) | [i] | ||
| 9 | Linear OA(8161, large, F81, 7) (dual of [large, large−61, 8]-code) | [i] | ||
| 10 | Linear OA(8161, large, F81, 6) (dual of [large, large−61, 7]-code) | [i] | ||
| 11 | Linear OA(8161, large, F81, 5) (dual of [large, large−61, 6]-code) | [i] | ||
| 12 | Linear OA(8161, large, F81, 4) (dual of [large, large−61, 5]-code) | [i] | ||
| 13 | Linear OA(8161, large, F81, 3) (dual of [large, large−61, 4]-code) | [i] | ||
| 14 | Linear OA(8162, large, F81, 16) (dual of [large, large−62, 17]-code) | [i] | Code Embedding in Larger Space | |
| 15 | Linear OA(8163, large, F81, 16) (dual of [large, large−63, 17]-code) | [i] | ||
| 16 | Linear OA(8164, large, F81, 16) (dual of [large, large−64, 17]-code) | [i] | ||
| 17 | Linear OA(8166, large, F81, 16) (dual of [large, large−66, 17]-code) | [i] | ||
| 18 | Linear OA(8167, large, F81, 16) (dual of [large, large−67, 17]-code) | [i] | ||
| 19 | Linear OA(8168, large, F81, 16) (dual of [large, large−68, 17]-code) | [i] | ||
| 20 | Linear OA(8170, large, F81, 16) (dual of [large, large−70, 17]-code) | [i] | ||
| 21 | Linear OA(8171, large, F81, 16) (dual of [large, large−71, 17]-code) | [i] | ||
| 22 | Linear OA(8172, large, F81, 16) (dual of [large, large−72, 17]-code) | [i] | ||
| 23 | Linear OA(8174, large, F81, 16) (dual of [large, large−74, 17]-code) | [i] | ||
| 24 | Linear OA(8175, large, F81, 16) (dual of [large, large−75, 17]-code) | [i] | ||
| 25 | Linear OA(8176, large, F81, 16) (dual of [large, large−76, 17]-code) | [i] | ||
| 26 | Linear OA(8178, large, F81, 16) (dual of [large, large−78, 17]-code) | [i] | ||
| 27 | Linear OA(8179, large, F81, 16) (dual of [large, large−79, 17]-code) | [i] | ||
| 28 | Linear OA(8180, large, F81, 16) (dual of [large, large−80, 17]-code) | [i] | ||
| 29 | Linear OA(8182, large, F81, 16) (dual of [large, large−82, 17]-code) | [i] | ||
| 30 | Linear OOA(8161, large, F81, 2, 16) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 31 | Linear OOA(8161, large, F81, 3, 16) | [i] | ||
| 32 | Linear OOA(8161, large, F81, 4, 16) | [i] | ||
| 33 | Digital (45, 61, large)-net over F81 | [i] | ||
| 34 | Linear OOA(8161, 4194301, F81, 2, 16) (dual of [(4194301, 2), 8388541, 17]-NRT-code) | [i] | OOA Folding | |
| 35 | Linear OOA(8161, 2796201, F81, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code) | [i] | ||
| 36 | Linear OOA(8161, 2097150, F81, 4, 16) (dual of [(2097150, 4), 8388539, 17]-NRT-code) | [i] | ||
| 37 | Linear OOA(8161, 1048575, F81, 16, 16) (dual of [(1048575, 16), 16777139, 17]-NRT-code) | [i] | OA Folding and Stacking | |