Information on Result #618802
Linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(6465, large, F64, 16) (dual of [large, large−65, 17]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(6465, large, F64, 15) (dual of [large, large−65, 16]-code) | [i] | ||
| 3 | Linear OA(6465, large, F64, 14) (dual of [large, large−65, 15]-code) | [i] | ||
| 4 | Linear OA(6465, large, F64, 13) (dual of [large, large−65, 14]-code) | [i] | ||
| 5 | Linear OA(6465, large, F64, 12) (dual of [large, large−65, 13]-code) | [i] | ||
| 6 | Linear OA(6465, large, F64, 11) (dual of [large, large−65, 12]-code) | [i] | ||
| 7 | Linear OA(6465, large, F64, 10) (dual of [large, large−65, 11]-code) | [i] | ||
| 8 | Linear OA(6465, large, F64, 9) (dual of [large, large−65, 10]-code) | [i] | ||
| 9 | Linear OA(6465, large, F64, 8) (dual of [large, large−65, 9]-code) | [i] | ||
| 10 | Linear OA(6465, large, F64, 7) (dual of [large, large−65, 8]-code) | [i] | ||
| 11 | Linear OA(6465, large, F64, 6) (dual of [large, large−65, 7]-code) | [i] | ||
| 12 | Linear OA(6465, large, F64, 5) (dual of [large, large−65, 6]-code) | [i] | ||
| 13 | Linear OA(6465, large, F64, 4) (dual of [large, large−65, 5]-code) | [i] | ||
| 14 | Linear OA(6465, large, F64, 3) (dual of [large, large−65, 4]-code) | [i] | ||
| 15 | Linear OA(6466, large, F64, 17) (dual of [large, large−66, 18]-code) | [i] | Code Embedding in Larger Space | |
| 16 | Linear OA(6467, large, F64, 17) (dual of [large, large−67, 18]-code) | [i] | ||
| 17 | Linear OA(6468, large, F64, 17) (dual of [large, large−68, 18]-code) | [i] | ||
| 18 | Linear OA(6470, large, F64, 17) (dual of [large, large−70, 18]-code) | [i] | ||
| 19 | Linear OA(6471, large, F64, 17) (dual of [large, large−71, 18]-code) | [i] | ||
| 20 | Linear OA(6472, large, F64, 17) (dual of [large, large−72, 18]-code) | [i] | ||
| 21 | Linear OA(6474, large, F64, 17) (dual of [large, large−74, 18]-code) | [i] | ||
| 22 | Linear OA(6475, large, F64, 17) (dual of [large, large−75, 18]-code) | [i] | ||
| 23 | Linear OA(6476, large, F64, 17) (dual of [large, large−76, 18]-code) | [i] | ||
| 24 | Linear OA(6478, large, F64, 17) (dual of [large, large−78, 18]-code) | [i] | ||
| 25 | Linear OA(6479, large, F64, 17) (dual of [large, large−79, 18]-code) | [i] | ||
| 26 | Linear OA(6480, large, F64, 17) (dual of [large, large−80, 18]-code) | [i] | ||
| 27 | Linear OA(6482, large, F64, 17) (dual of [large, large−82, 18]-code) | [i] | ||
| 28 | Linear OA(6483, large, F64, 17) (dual of [large, large−83, 18]-code) | [i] | ||
| 29 | Linear OA(6484, large, F64, 17) (dual of [large, large−84, 18]-code) | [i] | ||
| 30 | Linear OA(6486, large, F64, 17) (dual of [large, large−86, 18]-code) | [i] | ||
| 31 | Linear OA(6487, large, F64, 17) (dual of [large, large−87, 18]-code) | [i] | ||
| 32 | Linear OA(6488, large, F64, 17) (dual of [large, large−88, 18]-code) | [i] | ||
| 33 | Linear OA(6490, large, F64, 17) (dual of [large, large−90, 18]-code) | [i] | ||
| 34 | Linear OA(6491, large, F64, 17) (dual of [large, large−91, 18]-code) | [i] | ||
| 35 | OA(3278, large, S32, 17) | [i] | Discarding Parts of the Base for OAs | |
| 36 | Linear OOA(6465, 5185533, F64, 2, 17) (dual of [(5185533, 2), 10371001, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 37 | Linear OOA(6465, 5185533, F64, 3, 17) (dual of [(5185533, 3), 15556534, 18]-NRT-code) | [i] | ||
| 38 | Digital (48, 65, 5185533)-net over F64 | [i] | ||
| 39 | Linear OOA(6465, 4194301, F64, 2, 17) (dual of [(4194301, 2), 8388537, 18]-NRT-code) | [i] | OOA Folding | |
| 40 | Linear OOA(6465, 2796201, F64, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-code) | [i] | ||
| 41 | Linear OOA(6465, 1048575, F64, 17, 17) (dual of [(1048575, 17), 17825710, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |