Information on Result #618751
Linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(6441, large, F64, 10) (dual of [large, large−41, 11]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(6441, large, F64, 9) (dual of [large, large−41, 10]-code) | [i] | ||
| 3 | Linear OA(6441, large, F64, 8) (dual of [large, large−41, 9]-code) | [i] | ||
| 4 | Linear OA(6441, large, F64, 7) (dual of [large, large−41, 8]-code) | [i] | ||
| 5 | Linear OA(6441, large, F64, 6) (dual of [large, large−41, 7]-code) | [i] | ||
| 6 | Linear OA(6441, large, F64, 5) (dual of [large, large−41, 6]-code) | [i] | ||
| 7 | Linear OA(6441, large, F64, 4) (dual of [large, large−41, 5]-code) | [i] | ||
| 8 | Linear OA(6441, large, F64, 3) (dual of [large, large−41, 4]-code) | [i] | ||
| 9 | Linear OA(6442, large, F64, 11) (dual of [large, large−42, 12]-code) | [i] | Code Embedding in Larger Space | |
| 10 | Linear OA(6443, large, F64, 11) (dual of [large, large−43, 12]-code) | [i] | ||
| 11 | Linear OA(6444, large, F64, 11) (dual of [large, large−44, 12]-code) | [i] | ||
| 12 | Linear OA(6446, large, F64, 11) (dual of [large, large−46, 12]-code) | [i] | ||
| 13 | Linear OA(6447, large, F64, 11) (dual of [large, large−47, 12]-code) | [i] | ||
| 14 | Linear OA(6448, large, F64, 11) (dual of [large, large−48, 12]-code) | [i] | ||
| 15 | Linear OA(6450, large, F64, 11) (dual of [large, large−50, 12]-code) | [i] | ||
| 16 | Linear OA(6451, large, F64, 11) (dual of [large, large−51, 12]-code) | [i] | ||
| 17 | Linear OA(6452, large, F64, 11) (dual of [large, large−52, 12]-code) | [i] | ||
| 18 | Linear OA(6454, large, F64, 11) (dual of [large, large−54, 12]-code) | [i] | ||
| 19 | Linear OA(6455, large, F64, 11) (dual of [large, large−55, 12]-code) | [i] | ||
| 20 | Linear OA(6456, large, F64, 11) (dual of [large, large−56, 12]-code) | [i] | ||
| 21 | Linear OA(6458, large, F64, 11) (dual of [large, large−58, 12]-code) | [i] | ||
| 22 | Linear OA(6459, large, F64, 11) (dual of [large, large−59, 12]-code) | [i] | ||
| 23 | Linear OA(6460, large, F64, 11) (dual of [large, large−60, 12]-code) | [i] | ||
| 24 | Linear OA(6462, large, F64, 11) (dual of [large, large−62, 12]-code) | [i] | ||
| 25 | Linear OA(6463, large, F64, 11) (dual of [large, large−63, 12]-code) | [i] | ||
| 26 | Linear OA(6464, large, F64, 11) (dual of [large, large−64, 12]-code) | [i] | ||
| 27 | Linear OA(6466, large, F64, 11) (dual of [large, large−66, 12]-code) | [i] | ||
| 28 | Linear OA(6467, large, F64, 11) (dual of [large, large−67, 12]-code) | [i] | ||
| 29 | Linear OA(6468, large, F64, 11) (dual of [large, large−68, 12]-code) | [i] | ||
| 30 | Linear OA(6470, large, F64, 11) (dual of [large, large−70, 12]-code) | [i] | ||
| 31 | Linear OA(6471, large, F64, 11) (dual of [large, large−71, 12]-code) | [i] | ||
| 32 | Linear OA(6472, large, F64, 11) (dual of [large, large−72, 12]-code) | [i] | ||
| 33 | Linear OA(6474, large, F64, 11) (dual of [large, large−74, 12]-code) | [i] | ||
| 34 | Linear OA(6475, large, F64, 11) (dual of [large, large−75, 12]-code) | [i] | ||
| 35 | Linear OA(6476, large, F64, 11) (dual of [large, large−76, 12]-code) | [i] | ||
| 36 | Linear OA(6478, large, F64, 11) (dual of [large, large−78, 12]-code) | [i] | ||
| 37 | Linear OA(6479, large, F64, 11) (dual of [large, large−79, 12]-code) | [i] | ||
| 38 | Linear OA(6480, large, F64, 11) (dual of [large, large−80, 12]-code) | [i] | ||
| 39 | Linear OA(6482, large, F64, 11) (dual of [large, large−82, 12]-code) | [i] | ||
| 40 | Linear OA(6483, large, F64, 11) (dual of [large, large−83, 12]-code) | [i] | ||
| 41 | Linear OA(6484, large, F64, 11) (dual of [large, large−84, 12]-code) | [i] | ||
| 42 | Linear OA(6486, large, F64, 11) (dual of [large, large−86, 12]-code) | [i] | ||
| 43 | Linear OA(6487, large, F64, 11) (dual of [large, large−87, 12]-code) | [i] | ||
| 44 | Linear OA(6488, large, F64, 11) (dual of [large, large−88, 12]-code) | [i] | ||
| 45 | Linear OA(6490, large, F64, 11) (dual of [large, large−90, 12]-code) | [i] | ||
| 46 | Linear OA(6491, large, F64, 11) (dual of [large, large−91, 12]-code) | [i] | ||
| 47 | OA(3250, large, S32, 11) | [i] | Discarding Parts of the Base for OAs | |
| 48 | Linear OOA(6441, 7012570, F64, 2, 11) (dual of [(7012570, 2), 14025099, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 49 | Linear OOA(6441, 7012570, F64, 3, 11) (dual of [(7012570, 3), 21037669, 12]-NRT-code) | [i] | ||
| 50 | Digital (30, 41, 7012570)-net over F64 | [i] | ||
| 51 | Linear OOA(6441, 4194301, F64, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code) | [i] | OOA Folding | |
| 52 | Linear OOA(6441, 2796201, F64, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code) | [i] | ||
| 53 | Linear OOA(6441, 1677720, F64, 11, 11) (dual of [(1677720, 11), 18454879, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |