Information on Result #616384
Linear OA(16121, large, F16, 22) (dual of [large, large−121, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, 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(16121, large, F16, 21) (dual of [large, large−121, 22]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(16121, large, F16, 20) (dual of [large, large−121, 21]-code) | [i] | ||
| 3 | Linear OA(16121, large, F16, 19) (dual of [large, large−121, 20]-code) | [i] | ||
| 4 | Linear OA(16121, large, F16, 18) (dual of [large, large−121, 19]-code) | [i] | ||
| 5 | Linear OA(16121, large, F16, 17) (dual of [large, large−121, 18]-code) | [i] | ||
| 6 | Linear OA(16121, large, F16, 16) (dual of [large, large−121, 17]-code) | [i] | ||
| 7 | Linear OA(16121, large, F16, 15) (dual of [large, large−121, 16]-code) | [i] | ||
| 8 | Linear OA(16121, large, F16, 14) (dual of [large, large−121, 15]-code) | [i] | ||
| 9 | Linear OA(16121, large, F16, 13) (dual of [large, large−121, 14]-code) | [i] | ||
| 10 | Linear OA(16121, large, F16, 12) (dual of [large, large−121, 13]-code) | [i] | ||
| 11 | Linear OA(16121, large, F16, 11) (dual of [large, large−121, 12]-code) | [i] | ||
| 12 | Linear OA(16121, large, F16, 10) (dual of [large, large−121, 11]-code) | [i] | ||
| 13 | Linear OA(16121, large, F16, 9) (dual of [large, large−121, 10]-code) | [i] | ||
| 14 | Linear OA(16121, large, F16, 8) (dual of [large, large−121, 9]-code) | [i] | ||
| 15 | Linear OA(16121, large, F16, 7) (dual of [large, large−121, 8]-code) | [i] | ||
| 16 | Linear OA(16121, large, F16, 6) (dual of [large, large−121, 7]-code) | [i] | ||
| 17 | Linear OA(16121, large, F16, 5) (dual of [large, large−121, 6]-code) | [i] | ||
| 18 | Linear OA(16121, large, F16, 4) (dual of [large, large−121, 5]-code) | [i] | ||
| 19 | Linear OA(16121, large, F16, 3) (dual of [large, large−121, 4]-code) | [i] | ||
| 20 | Linear OA(16122, large, F16, 22) (dual of [large, large−122, 23]-code) | [i] | Code Embedding in Larger Space | |
| 21 | Linear OA(16123, large, F16, 22) (dual of [large, large−123, 23]-code) | [i] | ||
| 22 | Linear OA(16124, large, F16, 22) (dual of [large, large−124, 23]-code) | [i] | ||
| 23 | Linear OA(16125, large, F16, 22) (dual of [large, large−125, 23]-code) | [i] | ||
| 24 | Linear OA(16126, large, F16, 22) (dual of [large, large−126, 23]-code) | [i] | ||
| 25 | Linear OA(16128, large, F16, 22) (dual of [large, large−128, 23]-code) | [i] | ||
| 26 | Linear OA(16129, large, F16, 22) (dual of [large, large−129, 23]-code) | [i] | ||
| 27 | Linear OA(16130, large, F16, 22) (dual of [large, large−130, 23]-code) | [i] | ||
| 28 | Linear OOA(16121, large, F16, 2, 22) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 29 | Digital (99, 121, large)-net over F16 | [i] | ||
| 30 | Linear OOA(16121, 4194301, F16, 2, 22) (dual of [(4194301, 2), 8388481, 23]-NRT-code) | [i] | OOA Folding | |
| 31 | Linear OOA(16121, 762600, F16, 22, 22) (dual of [(762600, 22), 16777079, 23]-NRT-code) | [i] | OA Folding and Stacking | |