Information on Result #625159
Linear OA(647, large, F64, 3) (dual of [large, large−7, 4]-code), using product of projective cap with 642-ovoid cap in AG(3, 64) based on linear OA(644, 4097, F64, 3) (dual of [4097, 4093, 4]-code or 4097-cap in PG(3,64)), 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(648, large, F64, 3) (dual of [large, large−8, 4]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(6410, large, F64, 3) (dual of [large, large−10, 4]-code) | [i] | ||
| 3 | Linear OA(6411, large, F64, 3) (dual of [large, large−11, 4]-code) | [i] | ||
| 4 | Linear OA(6412, large, F64, 3) (dual of [large, large−12, 4]-code) | [i] | ||
| 5 | Linear OA(6414, large, F64, 3) (dual of [large, large−14, 4]-code) | [i] | ||
| 6 | Linear OA(6415, large, F64, 3) (dual of [large, large−15, 4]-code) | [i] | ||
| 7 | Linear OA(6416, large, F64, 3) (dual of [large, large−16, 4]-code) | [i] | ||
| 8 | Linear OA(6418, large, F64, 3) (dual of [large, large−18, 4]-code) | [i] | ||
| 9 | Linear OA(6419, large, F64, 3) (dual of [large, large−19, 4]-code) | [i] | ||
| 10 | Linear OA(6420, large, F64, 3) (dual of [large, large−20, 4]-code) | [i] | ||
| 11 | Linear OA(6422, large, F64, 3) (dual of [large, large−22, 4]-code) | [i] | ||
| 12 | Linear OA(6423, large, F64, 3) (dual of [large, large−23, 4]-code) | [i] | ||
| 13 | Linear OA(6424, large, F64, 3) (dual of [large, large−24, 4]-code) | [i] | ||
| 14 | Linear OA(6426, large, F64, 3) (dual of [large, large−26, 4]-code) | [i] | ||
| 15 | Linear OA(6427, large, F64, 3) (dual of [large, large−27, 4]-code) | [i] | ||
| 16 | Linear OA(6428, large, F64, 3) (dual of [large, large−28, 4]-code) | [i] | ||
| 17 | Linear OA(6430, large, F64, 3) (dual of [large, large−30, 4]-code) | [i] | ||
| 18 | Linear OA(6431, large, F64, 3) (dual of [large, large−31, 4]-code) | [i] | ||
| 19 | Linear OA(6432, large, F64, 3) (dual of [large, large−32, 4]-code) | [i] | ||
| 20 | Linear OA(6434, large, F64, 3) (dual of [large, large−34, 4]-code) | [i] | ||
| 21 | Linear OA(6435, large, F64, 3) (dual of [large, large−35, 4]-code) | [i] | ||
| 22 | Linear OA(6436, large, F64, 3) (dual of [large, large−36, 4]-code) | [i] | ||
| 23 | Linear OA(6438, large, F64, 3) (dual of [large, large−38, 4]-code) | [i] | ||
| 24 | Linear OA(6439, large, F64, 3) (dual of [large, large−39, 4]-code) | [i] | ||
| 25 | Linear OA(6440, large, F64, 3) (dual of [large, large−40, 4]-code) | [i] | ||
| 26 | Linear OA(6442, large, F64, 3) (dual of [large, large−42, 4]-code) | [i] | ||
| 27 | Linear OA(6443, large, F64, 3) (dual of [large, large−43, 4]-code) | [i] | ||
| 28 | Linear OA(6444, large, F64, 3) (dual of [large, large−44, 4]-code) | [i] | ||
| 29 | Linear OA(6446, large, F64, 3) (dual of [large, large−46, 4]-code) | [i] | ||
| 30 | Linear OA(6447, large, F64, 3) (dual of [large, large−47, 4]-code) | [i] | ||
| 31 | Linear OA(6448, large, F64, 3) (dual of [large, large−48, 4]-code) | [i] | ||
| 32 | Linear OA(6450, large, F64, 3) (dual of [large, large−50, 4]-code) | [i] | ||
| 33 | Linear OA(6451, large, F64, 3) (dual of [large, large−51, 4]-code) | [i] | ||
| 34 | Linear OA(6452, large, F64, 3) (dual of [large, large−52, 4]-code) | [i] | ||
| 35 | Linear OA(6454, large, F64, 3) (dual of [large, large−54, 4]-code) | [i] | ||
| 36 | Linear OA(6455, large, F64, 3) (dual of [large, large−55, 4]-code) | [i] | ||
| 37 | Linear OA(6456, large, F64, 3) (dual of [large, large−56, 4]-code) | [i] | ||
| 38 | Linear OA(6458, large, F64, 3) (dual of [large, large−58, 4]-code) | [i] | ||
| 39 | Linear OA(6459, large, F64, 3) (dual of [large, large−59, 4]-code) | [i] | ||
| 40 | Linear OA(6460, large, F64, 3) (dual of [large, large−60, 4]-code) | [i] | ||
| 41 | Linear OA(6462, large, F64, 3) (dual of [large, large−62, 4]-code) | [i] | ||
| 42 | Linear OA(6463, large, F64, 3) (dual of [large, large−63, 4]-code) | [i] | ||
| 43 | Linear OA(6464, large, F64, 3) (dual of [large, large−64, 4]-code) | [i] | ||
| 44 | Linear OA(6466, large, F64, 3) (dual of [large, large−66, 4]-code) | [i] | ||
| 45 | Linear OA(6467, large, F64, 3) (dual of [large, large−67, 4]-code) | [i] | ||
| 46 | Linear OA(6468, large, F64, 3) (dual of [large, large−68, 4]-code) | [i] | ||
| 47 | Linear OA(6470, large, F64, 3) (dual of [large, large−70, 4]-code) | [i] | ||
| 48 | Linear OA(6471, large, F64, 3) (dual of [large, large−71, 4]-code) | [i] | ||
| 49 | Linear OA(6472, large, F64, 3) (dual of [large, large−72, 4]-code) | [i] | ||
| 50 | Linear OA(6474, large, F64, 3) (dual of [large, large−74, 4]-code) | [i] | ||
| 51 | Linear OA(6475, large, F64, 3) (dual of [large, large−75, 4]-code) | [i] | ||
| 52 | Linear OA(6476, large, F64, 3) (dual of [large, large−76, 4]-code) | [i] | ||
| 53 | Linear OA(6478, large, F64, 3) (dual of [large, large−78, 4]-code) | [i] | ||
| 54 | Linear OA(6479, large, F64, 3) (dual of [large, large−79, 4]-code) | [i] | ||
| 55 | Linear OA(6480, large, F64, 3) (dual of [large, large−80, 4]-code) | [i] | ||
| 56 | Linear OA(6482, large, F64, 3) (dual of [large, large−82, 4]-code) | [i] | ||
| 57 | Linear OA(6483, large, F64, 3) (dual of [large, large−83, 4]-code) | [i] | ||
| 58 | Linear OA(6484, large, F64, 3) (dual of [large, large−84, 4]-code) | [i] | ||
| 59 | Linear OA(6486, large, F64, 3) (dual of [large, large−86, 4]-code) | [i] | ||
| 60 | Linear OA(6487, large, F64, 3) (dual of [large, large−87, 4]-code) | [i] | ||
| 61 | Linear OA(6488, large, F64, 3) (dual of [large, large−88, 4]-code) | [i] | ||
| 62 | Linear OA(6490, large, F64, 3) (dual of [large, large−90, 4]-code) | [i] | ||
| 63 | Linear OA(6491, large, F64, 3) (dual of [large, large−91, 4]-code) | [i] | ||
| 64 | Linear OOA(647, large, F64, 2, 3) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 65 | Linear OOA(647, 8388602, F64, 3, 3) (dual of [(8388602, 3), 25165799, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |