Information on Result #625160
Linear OA(817, large, F81, 3) (dual of [large, large−7, 4]-code), using product of projective cap with 812-ovoid cap in AG(3, 81) based on linear OA(814, 6562, F81, 3) (dual of [6562, 6558, 4]-code or 6562-cap in PG(3,81)), using
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(818, large, F81, 3) (dual of [large, large−8, 4]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8110, large, F81, 3) (dual of [large, large−10, 4]-code) | [i] | ||
| 3 | Linear OA(8111, large, F81, 3) (dual of [large, large−11, 4]-code) | [i] | ||
| 4 | Linear OA(8112, large, F81, 3) (dual of [large, large−12, 4]-code) | [i] | ||
| 5 | Linear OA(8114, large, F81, 3) (dual of [large, large−14, 4]-code) | [i] | ||
| 6 | Linear OA(8115, large, F81, 3) (dual of [large, large−15, 4]-code) | [i] | ||
| 7 | Linear OA(8116, large, F81, 3) (dual of [large, large−16, 4]-code) | [i] | ||
| 8 | Linear OA(8118, large, F81, 3) (dual of [large, large−18, 4]-code) | [i] | ||
| 9 | Linear OA(8119, large, F81, 3) (dual of [large, large−19, 4]-code) | [i] | ||
| 10 | Linear OA(8120, large, F81, 3) (dual of [large, large−20, 4]-code) | [i] | ||
| 11 | Linear OA(8122, large, F81, 3) (dual of [large, large−22, 4]-code) | [i] | ||
| 12 | Linear OA(8123, large, F81, 3) (dual of [large, large−23, 4]-code) | [i] | ||
| 13 | Linear OA(8124, large, F81, 3) (dual of [large, large−24, 4]-code) | [i] | ||
| 14 | Linear OA(8126, large, F81, 3) (dual of [large, large−26, 4]-code) | [i] | ||
| 15 | Linear OA(8127, large, F81, 3) (dual of [large, large−27, 4]-code) | [i] | ||
| 16 | Linear OA(8128, large, F81, 3) (dual of [large, large−28, 4]-code) | [i] | ||
| 17 | Linear OA(8130, large, F81, 3) (dual of [large, large−30, 4]-code) | [i] | ||
| 18 | Linear OA(8131, large, F81, 3) (dual of [large, large−31, 4]-code) | [i] | ||
| 19 | Linear OA(8132, large, F81, 3) (dual of [large, large−32, 4]-code) | [i] | ||
| 20 | Linear OA(8134, large, F81, 3) (dual of [large, large−34, 4]-code) | [i] | ||
| 21 | Linear OA(8135, large, F81, 3) (dual of [large, large−35, 4]-code) | [i] | ||
| 22 | Linear OA(8136, large, F81, 3) (dual of [large, large−36, 4]-code) | [i] | ||
| 23 | Linear OA(8138, large, F81, 3) (dual of [large, large−38, 4]-code) | [i] | ||
| 24 | Linear OA(8139, large, F81, 3) (dual of [large, large−39, 4]-code) | [i] | ||
| 25 | Linear OA(8140, large, F81, 3) (dual of [large, large−40, 4]-code) | [i] | ||
| 26 | Linear OA(8142, large, F81, 3) (dual of [large, large−42, 4]-code) | [i] | ||
| 27 | Linear OA(8143, large, F81, 3) (dual of [large, large−43, 4]-code) | [i] | ||
| 28 | Linear OA(8144, large, F81, 3) (dual of [large, large−44, 4]-code) | [i] | ||
| 29 | Linear OA(8146, large, F81, 3) (dual of [large, large−46, 4]-code) | [i] | ||
| 30 | Linear OA(8147, large, F81, 3) (dual of [large, large−47, 4]-code) | [i] | ||
| 31 | Linear OA(8148, large, F81, 3) (dual of [large, large−48, 4]-code) | [i] | ||
| 32 | Linear OA(8150, large, F81, 3) (dual of [large, large−50, 4]-code) | [i] | ||
| 33 | Linear OA(8151, large, F81, 3) (dual of [large, large−51, 4]-code) | [i] | ||
| 34 | Linear OA(8152, large, F81, 3) (dual of [large, large−52, 4]-code) | [i] | ||
| 35 | Linear OA(8154, large, F81, 3) (dual of [large, large−54, 4]-code) | [i] | ||
| 36 | Linear OA(8155, large, F81, 3) (dual of [large, large−55, 4]-code) | [i] | ||
| 37 | Linear OA(8156, large, F81, 3) (dual of [large, large−56, 4]-code) | [i] | ||
| 38 | Linear OA(8158, large, F81, 3) (dual of [large, large−58, 4]-code) | [i] | ||
| 39 | Linear OA(8159, large, F81, 3) (dual of [large, large−59, 4]-code) | [i] | ||
| 40 | Linear OA(8160, large, F81, 3) (dual of [large, large−60, 4]-code) | [i] | ||
| 41 | Linear OA(8162, large, F81, 3) (dual of [large, large−62, 4]-code) | [i] | ||
| 42 | Linear OA(8163, large, F81, 3) (dual of [large, large−63, 4]-code) | [i] | ||
| 43 | Linear OA(8164, large, F81, 3) (dual of [large, large−64, 4]-code) | [i] | ||
| 44 | Linear OA(8166, large, F81, 3) (dual of [large, large−66, 4]-code) | [i] | ||
| 45 | Linear OA(8167, large, F81, 3) (dual of [large, large−67, 4]-code) | [i] | ||
| 46 | Linear OA(8168, large, F81, 3) (dual of [large, large−68, 4]-code) | [i] | ||
| 47 | Linear OA(8170, large, F81, 3) (dual of [large, large−70, 4]-code) | [i] | ||
| 48 | Linear OA(8171, large, F81, 3) (dual of [large, large−71, 4]-code) | [i] | ||
| 49 | Linear OA(8172, large, F81, 3) (dual of [large, large−72, 4]-code) | [i] | ||
| 50 | Linear OA(8174, large, F81, 3) (dual of [large, large−74, 4]-code) | [i] | ||
| 51 | Linear OA(8175, large, F81, 3) (dual of [large, large−75, 4]-code) | [i] | ||
| 52 | Linear OA(8176, large, F81, 3) (dual of [large, large−76, 4]-code) | [i] | ||
| 53 | Linear OA(8178, large, F81, 3) (dual of [large, large−78, 4]-code) | [i] | ||
| 54 | Linear OA(8179, large, F81, 3) (dual of [large, large−79, 4]-code) | [i] | ||
| 55 | Linear OA(8180, large, F81, 3) (dual of [large, large−80, 4]-code) | [i] | ||
| 56 | Linear OA(8182, large, F81, 3) (dual of [large, large−82, 4]-code) | [i] | ||
| 57 | Linear OOA(817, large, F81, 2, 3) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 58 | Linear OOA(817, 8388602, F81, 3, 3) (dual of [(8388602, 3), 25165799, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |