Information on Result #618790
Linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17
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(6461, large, F64, 15) (dual of [large, large−61, 16]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(6461, large, F64, 14) (dual of [large, large−61, 15]-code) | [i] | ||
| 3 | Linear OA(6461, large, F64, 13) (dual of [large, large−61, 14]-code) | [i] | ||
| 4 | Linear OA(6461, large, F64, 12) (dual of [large, large−61, 13]-code) | [i] | ||
| 5 | Linear OA(6461, large, F64, 11) (dual of [large, large−61, 12]-code) | [i] | ||
| 6 | Linear OA(6461, large, F64, 10) (dual of [large, large−61, 11]-code) | [i] | ||
| 7 | Linear OA(6461, large, F64, 9) (dual of [large, large−61, 10]-code) | [i] | ||
| 8 | Linear OA(6461, large, F64, 8) (dual of [large, large−61, 9]-code) | [i] | ||
| 9 | Linear OA(6461, large, F64, 7) (dual of [large, large−61, 8]-code) | [i] | ||
| 10 | Linear OA(6461, large, F64, 6) (dual of [large, large−61, 7]-code) | [i] | ||
| 11 | Linear OA(6461, large, F64, 5) (dual of [large, large−61, 6]-code) | [i] | ||
| 12 | Linear OA(6461, large, F64, 4) (dual of [large, large−61, 5]-code) | [i] | ||
| 13 | Linear OA(6461, large, F64, 3) (dual of [large, large−61, 4]-code) | [i] | ||
| 14 | Linear OA(6462, large, F64, 16) (dual of [large, large−62, 17]-code) | [i] | Code Embedding in Larger Space | |
| 15 | Linear OA(6463, large, F64, 16) (dual of [large, large−63, 17]-code) | [i] | ||
| 16 | Linear OA(6464, large, F64, 16) (dual of [large, large−64, 17]-code) | [i] | ||
| 17 | Linear OA(6466, large, F64, 16) (dual of [large, large−66, 17]-code) | [i] | ||
| 18 | Linear OA(6467, large, F64, 16) (dual of [large, large−67, 17]-code) | [i] | ||
| 19 | Linear OA(6468, large, F64, 16) (dual of [large, large−68, 17]-code) | [i] | ||
| 20 | Linear OA(6470, large, F64, 16) (dual of [large, large−70, 17]-code) | [i] | ||
| 21 | Linear OA(6471, large, F64, 16) (dual of [large, large−71, 17]-code) | [i] | ||
| 22 | Linear OA(6472, large, F64, 16) (dual of [large, large−72, 17]-code) | [i] | ||
| 23 | Linear OA(6474, large, F64, 16) (dual of [large, large−74, 17]-code) | [i] | ||
| 24 | Linear OA(6475, large, F64, 16) (dual of [large, large−75, 17]-code) | [i] | ||
| 25 | Linear OA(6476, large, F64, 16) (dual of [large, large−76, 17]-code) | [i] | ||
| 26 | Linear OA(6478, large, F64, 16) (dual of [large, large−78, 17]-code) | [i] | ||
| 27 | Linear OA(6479, large, F64, 16) (dual of [large, large−79, 17]-code) | [i] | ||
| 28 | Linear OA(6480, large, F64, 16) (dual of [large, large−80, 17]-code) | [i] | ||
| 29 | Linear OA(6482, large, F64, 16) (dual of [large, large−82, 17]-code) | [i] | ||
| 30 | Linear OA(6483, large, F64, 16) (dual of [large, large−83, 17]-code) | [i] | ||
| 31 | Linear OA(6484, large, F64, 16) (dual of [large, large−84, 17]-code) | [i] | ||
| 32 | Linear OA(6486, large, F64, 16) (dual of [large, large−86, 17]-code) | [i] | ||
| 33 | Linear OA(6487, large, F64, 16) (dual of [large, large−87, 17]-code) | [i] | ||
| 34 | Linear OA(6488, large, F64, 16) (dual of [large, large−88, 17]-code) | [i] | ||
| 35 | Linear OA(6490, large, F64, 16) (dual of [large, large−90, 17]-code) | [i] | ||
| 36 | Linear OA(6491, large, F64, 16) (dual of [large, large−91, 17]-code) | [i] | ||
| 37 | OA(3274, large, S32, 16) | [i] | Discarding Parts of the Base for OAs | |
| 38 | Linear OOA(6461, 5283090, F64, 2, 16) (dual of [(5283090, 2), 10566119, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 39 | Linear OOA(6461, 5283090, F64, 3, 16) (dual of [(5283090, 3), 15849209, 17]-NRT-code) | [i] | ||
| 40 | Digital (45, 61, 5283090)-net over F64 | [i] | ||
| 41 | Linear OOA(6461, 4194301, F64, 2, 16) (dual of [(4194301, 2), 8388541, 17]-NRT-code) | [i] | OOA Folding | |
| 42 | Linear OOA(6461, 2796201, F64, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code) | [i] | ||
| 43 | Linear OOA(6461, 1048575, F64, 16, 16) (dual of [(1048575, 16), 16777139, 17]-NRT-code) | [i] | OA Folding and Stacking | |