Information on Result #618824
Linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21
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(6477, large, F64, 19) (dual of [large, large−77, 20]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(6477, large, F64, 18) (dual of [large, large−77, 19]-code) | [i] | ||
| 3 | Linear OA(6477, large, F64, 17) (dual of [large, large−77, 18]-code) | [i] | ||
| 4 | Linear OA(6477, large, F64, 16) (dual of [large, large−77, 17]-code) | [i] | ||
| 5 | Linear OA(6477, large, F64, 15) (dual of [large, large−77, 16]-code) | [i] | ||
| 6 | Linear OA(6477, large, F64, 14) (dual of [large, large−77, 15]-code) | [i] | ||
| 7 | Linear OA(6477, large, F64, 13) (dual of [large, large−77, 14]-code) | [i] | ||
| 8 | Linear OA(6477, large, F64, 12) (dual of [large, large−77, 13]-code) | [i] | ||
| 9 | Linear OA(6477, large, F64, 11) (dual of [large, large−77, 12]-code) | [i] | ||
| 10 | Linear OA(6477, large, F64, 10) (dual of [large, large−77, 11]-code) | [i] | ||
| 11 | Linear OA(6477, large, F64, 9) (dual of [large, large−77, 10]-code) | [i] | ||
| 12 | Linear OA(6477, large, F64, 8) (dual of [large, large−77, 9]-code) | [i] | ||
| 13 | Linear OA(6477, large, F64, 7) (dual of [large, large−77, 8]-code) | [i] | ||
| 14 | Linear OA(6477, large, F64, 6) (dual of [large, large−77, 7]-code) | [i] | ||
| 15 | Linear OA(6477, large, F64, 5) (dual of [large, large−77, 6]-code) | [i] | ||
| 16 | Linear OA(6477, large, F64, 4) (dual of [large, large−77, 5]-code) | [i] | ||
| 17 | Linear OA(6477, large, F64, 3) (dual of [large, large−77, 4]-code) | [i] | ||
| 18 | Linear OA(6478, large, F64, 20) (dual of [large, large−78, 21]-code) | [i] | Code Embedding in Larger Space | |
| 19 | Linear OA(6479, large, F64, 20) (dual of [large, large−79, 21]-code) | [i] | ||
| 20 | Linear OA(6480, large, F64, 20) (dual of [large, large−80, 21]-code) | [i] | ||
| 21 | Linear OA(6482, large, F64, 20) (dual of [large, large−82, 21]-code) | [i] | ||
| 22 | Linear OA(6483, large, F64, 20) (dual of [large, large−83, 21]-code) | [i] | ||
| 23 | Linear OA(6484, large, F64, 20) (dual of [large, large−84, 21]-code) | [i] | ||
| 24 | Linear OA(6486, large, F64, 20) (dual of [large, large−86, 21]-code) | [i] | ||
| 25 | Linear OA(6487, large, F64, 20) (dual of [large, large−87, 21]-code) | [i] | ||
| 26 | Linear OA(6488, large, F64, 20) (dual of [large, large−88, 21]-code) | [i] | ||
| 27 | Linear OA(6490, large, F64, 20) (dual of [large, large−90, 21]-code) | [i] | ||
| 28 | Linear OA(6491, large, F64, 20) (dual of [large, large−91, 21]-code) | [i] | ||
| 29 | OA(3293, large, S32, 20) | [i] | Discarding Parts of the Base for OAs | |
| 30 | Linear OOA(6477, 5068530, F64, 2, 20) (dual of [(5068530, 2), 10136983, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 31 | Linear OOA(6477, 5068530, F64, 3, 20) (dual of [(5068530, 3), 15205513, 21]-NRT-code) | [i] | ||
| 32 | Digital (57, 77, 5068530)-net over F64 | [i] | ||
| 33 | Linear OOA(6477, 4194301, F64, 2, 20) (dual of [(4194301, 2), 8388525, 21]-NRT-code) | [i] | OOA Folding | |
| 34 | Linear OOA(6477, 2796201, F64, 3, 20) (dual of [(2796201, 3), 8388526, 21]-NRT-code) | [i] | ||
| 35 | Linear OOA(6477, 838860, F64, 20, 20) (dual of [(838860, 20), 16777123, 21]-NRT-code) | [i] | OA Folding and Stacking | |