Information on Result #619331
Linear OA(8177, large, F81, 20) (dual of [large, large−77, 21]-code), using the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21
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(8177, large, F81, 19) (dual of [large, large−77, 20]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8177, large, F81, 18) (dual of [large, large−77, 19]-code) | [i] | ||
| 3 | Linear OA(8177, large, F81, 17) (dual of [large, large−77, 18]-code) | [i] | ||
| 4 | Linear OA(8177, large, F81, 16) (dual of [large, large−77, 17]-code) | [i] | ||
| 5 | Linear OA(8177, large, F81, 15) (dual of [large, large−77, 16]-code) | [i] | ||
| 6 | Linear OA(8177, large, F81, 14) (dual of [large, large−77, 15]-code) | [i] | ||
| 7 | Linear OA(8177, large, F81, 13) (dual of [large, large−77, 14]-code) | [i] | ||
| 8 | Linear OA(8177, large, F81, 12) (dual of [large, large−77, 13]-code) | [i] | ||
| 9 | Linear OA(8177, large, F81, 11) (dual of [large, large−77, 12]-code) | [i] | ||
| 10 | Linear OA(8177, large, F81, 10) (dual of [large, large−77, 11]-code) | [i] | ||
| 11 | Linear OA(8177, large, F81, 9) (dual of [large, large−77, 10]-code) | [i] | ||
| 12 | Linear OA(8177, large, F81, 8) (dual of [large, large−77, 9]-code) | [i] | ||
| 13 | Linear OA(8177, large, F81, 7) (dual of [large, large−77, 8]-code) | [i] | ||
| 14 | Linear OA(8177, large, F81, 6) (dual of [large, large−77, 7]-code) | [i] | ||
| 15 | Linear OA(8177, large, F81, 5) (dual of [large, large−77, 6]-code) | [i] | ||
| 16 | Linear OA(8177, large, F81, 4) (dual of [large, large−77, 5]-code) | [i] | ||
| 17 | Linear OA(8177, large, F81, 3) (dual of [large, large−77, 4]-code) | [i] | ||
| 18 | Linear OA(8178, large, F81, 20) (dual of [large, large−78, 21]-code) | [i] | Code Embedding in Larger Space | |
| 19 | Linear OA(8179, large, F81, 20) (dual of [large, large−79, 21]-code) | [i] | ||
| 20 | Linear OA(8180, large, F81, 20) (dual of [large, large−80, 21]-code) | [i] | ||
| 21 | Linear OA(8182, large, F81, 20) (dual of [large, large−82, 21]-code) | [i] | ||
| 22 | Linear OOA(8177, large, F81, 2, 20) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 23 | Linear OOA(8177, large, F81, 3, 20) | [i] | ||
| 24 | Linear OOA(8177, large, F81, 4, 20) | [i] | ||
| 25 | Digital (57, 77, large)-net over F81 | [i] | ||
| 26 | Linear OOA(8177, 4194301, F81, 2, 20) (dual of [(4194301, 2), 8388525, 21]-NRT-code) | [i] | OOA Folding | |
| 27 | Linear OOA(8177, 2796201, F81, 3, 20) (dual of [(2796201, 3), 8388526, 21]-NRT-code) | [i] | ||
| 28 | Linear OOA(8177, 2097150, F81, 4, 20) (dual of [(2097150, 4), 8388523, 21]-NRT-code) | [i] | ||
| 29 | Linear OOA(8177, 838860, F81, 20, 20) (dual of [(838860, 20), 16777123, 21]-NRT-code) | [i] | OA Folding and Stacking | |