Information on Result #618843
Linear OA(6485, large, F64, 22) (dual of [large, large−85, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23
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(6485, large, F64, 21) (dual of [large, large−85, 22]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(6485, large, F64, 20) (dual of [large, large−85, 21]-code) | [i] | ||
| 3 | Linear OA(6485, large, F64, 19) (dual of [large, large−85, 20]-code) | [i] | ||
| 4 | Linear OA(6485, large, F64, 18) (dual of [large, large−85, 19]-code) | [i] | ||
| 5 | Linear OA(6485, large, F64, 17) (dual of [large, large−85, 18]-code) | [i] | ||
| 6 | Linear OA(6485, large, F64, 16) (dual of [large, large−85, 17]-code) | [i] | ||
| 7 | Linear OA(6485, large, F64, 15) (dual of [large, large−85, 16]-code) | [i] | ||
| 8 | Linear OA(6485, large, F64, 14) (dual of [large, large−85, 15]-code) | [i] | ||
| 9 | Linear OA(6485, large, F64, 13) (dual of [large, large−85, 14]-code) | [i] | ||
| 10 | Linear OA(6485, large, F64, 12) (dual of [large, large−85, 13]-code) | [i] | ||
| 11 | Linear OA(6485, large, F64, 11) (dual of [large, large−85, 12]-code) | [i] | ||
| 12 | Linear OA(6485, large, F64, 10) (dual of [large, large−85, 11]-code) | [i] | ||
| 13 | Linear OA(6485, large, F64, 9) (dual of [large, large−85, 10]-code) | [i] | ||
| 14 | Linear OA(6485, large, F64, 8) (dual of [large, large−85, 9]-code) | [i] | ||
| 15 | Linear OA(6485, large, F64, 7) (dual of [large, large−85, 8]-code) | [i] | ||
| 16 | Linear OA(6485, large, F64, 6) (dual of [large, large−85, 7]-code) | [i] | ||
| 17 | Linear OA(6485, large, F64, 5) (dual of [large, large−85, 6]-code) | [i] | ||
| 18 | Linear OA(6485, large, F64, 4) (dual of [large, large−85, 5]-code) | [i] | ||
| 19 | Linear OA(6485, large, F64, 3) (dual of [large, large−85, 4]-code) | [i] | ||
| 20 | Linear OA(6486, large, F64, 22) (dual of [large, large−86, 23]-code) | [i] | Code Embedding in Larger Space | |
| 21 | Linear OA(6487, large, F64, 22) (dual of [large, large−87, 23]-code) | [i] | ||
| 22 | Linear OA(6488, large, F64, 22) (dual of [large, large−88, 23]-code) | [i] | ||
| 23 | Linear OA(6490, large, F64, 22) (dual of [large, large−90, 23]-code) | [i] | ||
| 24 | Linear OA(6491, large, F64, 22) (dual of [large, large−91, 23]-code) | [i] | ||
| 25 | OA(32102, large, S32, 22) | [i] | Discarding Parts of the Base for OAs | |
| 26 | Linear OOA(6485, 5080668, F64, 2, 22) (dual of [(5080668, 2), 10161251, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 27 | Linear OOA(6485, 5080668, F64, 3, 22) (dual of [(5080668, 3), 15241919, 23]-NRT-code) | [i] | ||
| 28 | Digital (63, 85, 5080668)-net over F64 | [i] | ||
| 29 | Linear OOA(6485, 4194301, F64, 2, 22) (dual of [(4194301, 2), 8388517, 23]-NRT-code) | [i] | OOA Folding | |
| 30 | Linear OOA(6485, 2796201, F64, 3, 22) (dual of [(2796201, 3), 8388518, 23]-NRT-code) | [i] | ||
| 31 | Linear OOA(6485, 762600, F64, 22, 22) (dual of [(762600, 22), 16777115, 23]-NRT-code) | [i] | OA Folding and Stacking | |