Information on Result #619237
Linear OA(8125, large, F81, 7) (dual of [large, large−25, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(8125, large, F81, 6) (dual of [large, large−25, 7]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8125, large, F81, 5) (dual of [large, large−25, 6]-code) | [i] | ||
| 3 | Linear OA(8125, large, F81, 4) (dual of [large, large−25, 5]-code) | [i] | ||
| 4 | Linear OA(8125, large, F81, 3) (dual of [large, large−25, 4]-code) | [i] | ||
| 5 | Linear OA(8126, large, F81, 7) (dual of [large, large−26, 8]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(8127, large, F81, 7) (dual of [large, large−27, 8]-code) | [i] | ||
| 7 | Linear OA(8128, large, F81, 7) (dual of [large, large−28, 8]-code) | [i] | ||
| 8 | Linear OA(8130, large, F81, 7) (dual of [large, large−30, 8]-code) | [i] | ||
| 9 | Linear OA(8131, large, F81, 7) (dual of [large, large−31, 8]-code) | [i] | ||
| 10 | Linear OA(8132, large, F81, 7) (dual of [large, large−32, 8]-code) | [i] | ||
| 11 | Linear OA(8134, large, F81, 7) (dual of [large, large−34, 8]-code) | [i] | ||
| 12 | Linear OA(8135, large, F81, 7) (dual of [large, large−35, 8]-code) | [i] | ||
| 13 | Linear OA(8136, large, F81, 7) (dual of [large, large−36, 8]-code) | [i] | ||
| 14 | Linear OA(8138, large, F81, 7) (dual of [large, large−38, 8]-code) | [i] | ||
| 15 | Linear OA(8139, large, F81, 7) (dual of [large, large−39, 8]-code) | [i] | ||
| 16 | Linear OA(8140, large, F81, 7) (dual of [large, large−40, 8]-code) | [i] | ||
| 17 | Linear OA(8142, large, F81, 7) (dual of [large, large−42, 8]-code) | [i] | ||
| 18 | Linear OA(8143, large, F81, 7) (dual of [large, large−43, 8]-code) | [i] | ||
| 19 | Linear OA(8144, large, F81, 7) (dual of [large, large−44, 8]-code) | [i] | ||
| 20 | Linear OA(8146, large, F81, 7) (dual of [large, large−46, 8]-code) | [i] | ||
| 21 | Linear OA(8147, large, F81, 7) (dual of [large, large−47, 8]-code) | [i] | ||
| 22 | Linear OA(8148, large, F81, 7) (dual of [large, large−48, 8]-code) | [i] | ||
| 23 | Linear OA(8150, large, F81, 7) (dual of [large, large−50, 8]-code) | [i] | ||
| 24 | Linear OA(8151, large, F81, 7) (dual of [large, large−51, 8]-code) | [i] | ||
| 25 | Linear OA(8152, large, F81, 7) (dual of [large, large−52, 8]-code) | [i] | ||
| 26 | Linear OA(8154, large, F81, 7) (dual of [large, large−54, 8]-code) | [i] | ||
| 27 | Linear OA(8155, large, F81, 7) (dual of [large, large−55, 8]-code) | [i] | ||
| 28 | Linear OA(8156, large, F81, 7) (dual of [large, large−56, 8]-code) | [i] | ||
| 29 | Linear OA(8158, large, F81, 7) (dual of [large, large−58, 8]-code) | [i] | ||
| 30 | Linear OA(8159, large, F81, 7) (dual of [large, large−59, 8]-code) | [i] | ||
| 31 | Linear OA(8160, large, F81, 7) (dual of [large, large−60, 8]-code) | [i] | ||
| 32 | Linear OA(8162, large, F81, 7) (dual of [large, large−62, 8]-code) | [i] | ||
| 33 | Linear OA(8163, large, F81, 7) (dual of [large, large−63, 8]-code) | [i] | ||
| 34 | Linear OA(8164, large, F81, 7) (dual of [large, large−64, 8]-code) | [i] | ||
| 35 | Linear OA(8166, large, F81, 7) (dual of [large, large−66, 8]-code) | [i] | ||
| 36 | Linear OA(8167, large, F81, 7) (dual of [large, large−67, 8]-code) | [i] | ||
| 37 | Linear OA(8168, large, F81, 7) (dual of [large, large−68, 8]-code) | [i] | ||
| 38 | Linear OA(8170, large, F81, 7) (dual of [large, large−70, 8]-code) | [i] | ||
| 39 | Linear OA(8171, large, F81, 7) (dual of [large, large−71, 8]-code) | [i] | ||
| 40 | Linear OA(8172, large, F81, 7) (dual of [large, large−72, 8]-code) | [i] | ||
| 41 | Linear OA(8174, large, F81, 7) (dual of [large, large−74, 8]-code) | [i] | ||
| 42 | Linear OA(8175, large, F81, 7) (dual of [large, large−75, 8]-code) | [i] | ||
| 43 | Linear OA(8176, large, F81, 7) (dual of [large, large−76, 8]-code) | [i] | ||
| 44 | Linear OA(8178, large, F81, 7) (dual of [large, large−78, 8]-code) | [i] | ||
| 45 | Linear OA(8179, large, F81, 7) (dual of [large, large−79, 8]-code) | [i] | ||
| 46 | Linear OA(8180, large, F81, 7) (dual of [large, large−80, 8]-code) | [i] | ||
| 47 | Linear OA(8182, large, F81, 7) (dual of [large, large−82, 8]-code) | [i] | ||
| 48 | Linear OOA(8125, large, F81, 2, 7) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 49 | Linear OOA(8125, large, F81, 3, 7) | [i] | ||
| 50 | Linear OOA(8125, large, F81, 4, 7) | [i] | ||
| 51 | Digital (18, 25, large)-net over F81 | [i] | ||
| 52 | Linear OOA(8125, 4194301, F81, 2, 7) (dual of [(4194301, 2), 8388577, 8]-NRT-code) | [i] | OOA Folding | |
| 53 | Linear OOA(8125, 2796201, F81, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code) | [i] | ||
| 54 | Linear OOA(8125, 2796200, F81, 4, 7) (dual of [(2796200, 4), 11184775, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 55 | Linear OOA(8125, 2796200, F81, 7, 7) (dual of [(2796200, 7), 19573375, 8]-NRT-code) | [i] | ||