Information on Result #618837
Linear OA(6481, large, F64, 21) (dual of [large, large−81, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(6481, large, F64, 20) (dual of [large, large−81, 21]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(6481, large, F64, 19) (dual of [large, large−81, 20]-code) | [i] | ||
| 3 | Linear OA(6481, large, F64, 18) (dual of [large, large−81, 19]-code) | [i] | ||
| 4 | Linear OA(6481, large, F64, 17) (dual of [large, large−81, 18]-code) | [i] | ||
| 5 | Linear OA(6481, large, F64, 16) (dual of [large, large−81, 17]-code) | [i] | ||
| 6 | Linear OA(6481, large, F64, 15) (dual of [large, large−81, 16]-code) | [i] | ||
| 7 | Linear OA(6481, large, F64, 14) (dual of [large, large−81, 15]-code) | [i] | ||
| 8 | Linear OA(6481, large, F64, 13) (dual of [large, large−81, 14]-code) | [i] | ||
| 9 | Linear OA(6481, large, F64, 12) (dual of [large, large−81, 13]-code) | [i] | ||
| 10 | Linear OA(6481, large, F64, 11) (dual of [large, large−81, 12]-code) | [i] | ||
| 11 | Linear OA(6481, large, F64, 10) (dual of [large, large−81, 11]-code) | [i] | ||
| 12 | Linear OA(6481, large, F64, 9) (dual of [large, large−81, 10]-code) | [i] | ||
| 13 | Linear OA(6481, large, F64, 8) (dual of [large, large−81, 9]-code) | [i] | ||
| 14 | Linear OA(6481, large, F64, 7) (dual of [large, large−81, 8]-code) | [i] | ||
| 15 | Linear OA(6481, large, F64, 6) (dual of [large, large−81, 7]-code) | [i] | ||
| 16 | Linear OA(6481, large, F64, 5) (dual of [large, large−81, 6]-code) | [i] | ||
| 17 | Linear OA(6481, large, F64, 4) (dual of [large, large−81, 5]-code) | [i] | ||
| 18 | Linear OA(6481, large, F64, 3) (dual of [large, large−81, 4]-code) | [i] | ||
| 19 | Linear OA(6482, large, F64, 21) (dual of [large, large−82, 22]-code) | [i] | Code Embedding in Larger Space | |
| 20 | Linear OA(6483, large, F64, 21) (dual of [large, large−83, 22]-code) | [i] | ||
| 21 | Linear OA(6484, large, F64, 21) (dual of [large, large−84, 22]-code) | [i] | ||
| 22 | Linear OA(6486, large, F64, 21) (dual of [large, large−86, 22]-code) | [i] | ||
| 23 | Linear OA(6487, large, F64, 21) (dual of [large, large−87, 22]-code) | [i] | ||
| 24 | Linear OA(6488, large, F64, 21) (dual of [large, large−88, 22]-code) | [i] | ||
| 25 | Linear OA(6490, large, F64, 21) (dual of [large, large−90, 22]-code) | [i] | ||
| 26 | Linear OA(6491, large, F64, 21) (dual of [large, large−91, 22]-code) | [i] | ||
| 27 | OA(3298, large, S32, 21) | [i] | Discarding Parts of the Base for OAs | |
| 28 | Linear OOA(6481, 5068069, F64, 2, 21) (dual of [(5068069, 2), 10136057, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 29 | Linear OOA(6481, 5068069, F64, 3, 21) (dual of [(5068069, 3), 15204126, 22]-NRT-code) | [i] | ||
| 30 | Digital (60, 81, 5068069)-net over F64 | [i] | ||
| 31 | Linear OOA(6481, 4194301, F64, 2, 21) (dual of [(4194301, 2), 8388521, 22]-NRT-code) | [i] | OOA Folding | |
| 32 | Linear OOA(6481, 2796201, F64, 3, 21) (dual of [(2796201, 3), 8388522, 22]-NRT-code) | [i] | ||
| 33 | Linear OOA(6481, 838860, F64, 21, 21) (dual of [(838860, 21), 17615979, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |