Information on Result #616371
Linear OA(16115, large, F16, 21) (dual of [large, large−115, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22
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(16115, large, F16, 20) (dual of [large, large−115, 21]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(16115, large, F16, 19) (dual of [large, large−115, 20]-code) | [i] | ||
| 3 | Linear OA(16115, large, F16, 18) (dual of [large, large−115, 19]-code) | [i] | ||
| 4 | Linear OA(16115, large, F16, 17) (dual of [large, large−115, 18]-code) | [i] | ||
| 5 | Linear OA(16115, large, F16, 16) (dual of [large, large−115, 17]-code) | [i] | ||
| 6 | Linear OA(16115, large, F16, 15) (dual of [large, large−115, 16]-code) | [i] | ||
| 7 | Linear OA(16115, large, F16, 14) (dual of [large, large−115, 15]-code) | [i] | ||
| 8 | Linear OA(16115, large, F16, 13) (dual of [large, large−115, 14]-code) | [i] | ||
| 9 | Linear OA(16115, large, F16, 12) (dual of [large, large−115, 13]-code) | [i] | ||
| 10 | Linear OA(16115, large, F16, 11) (dual of [large, large−115, 12]-code) | [i] | ||
| 11 | Linear OA(16115, large, F16, 10) (dual of [large, large−115, 11]-code) | [i] | ||
| 12 | Linear OA(16115, large, F16, 9) (dual of [large, large−115, 10]-code) | [i] | ||
| 13 | Linear OA(16115, large, F16, 8) (dual of [large, large−115, 9]-code) | [i] | ||
| 14 | Linear OA(16115, large, F16, 7) (dual of [large, large−115, 8]-code) | [i] | ||
| 15 | Linear OA(16115, large, F16, 6) (dual of [large, large−115, 7]-code) | [i] | ||
| 16 | Linear OA(16115, large, F16, 5) (dual of [large, large−115, 6]-code) | [i] | ||
| 17 | Linear OA(16115, large, F16, 4) (dual of [large, large−115, 5]-code) | [i] | ||
| 18 | Linear OA(16115, large, F16, 3) (dual of [large, large−115, 4]-code) | [i] | ||
| 19 | Linear OA(16116, large, F16, 21) (dual of [large, large−116, 22]-code) | [i] | Code Embedding in Larger Space | |
| 20 | Linear OA(16117, large, F16, 21) (dual of [large, large−117, 22]-code) | [i] | ||
| 21 | Linear OA(16118, large, F16, 21) (dual of [large, large−118, 22]-code) | [i] | ||
| 22 | Linear OA(16119, large, F16, 21) (dual of [large, large−119, 22]-code) | [i] | ||
| 23 | Linear OA(16120, large, F16, 21) (dual of [large, large−120, 22]-code) | [i] | ||
| 24 | Linear OA(16122, large, F16, 21) (dual of [large, large−122, 22]-code) | [i] | ||
| 25 | Linear OA(16123, large, F16, 21) (dual of [large, large−123, 22]-code) | [i] | ||
| 26 | Linear OA(16124, large, F16, 21) (dual of [large, large−124, 22]-code) | [i] | ||
| 27 | Linear OA(16125, large, F16, 21) (dual of [large, large−125, 22]-code) | [i] | ||
| 28 | Linear OA(16126, large, F16, 21) (dual of [large, large−126, 22]-code) | [i] | ||
| 29 | Linear OA(16128, large, F16, 21) (dual of [large, large−128, 22]-code) | [i] | ||
| 30 | Linear OA(16129, large, F16, 21) (dual of [large, large−129, 22]-code) | [i] | ||
| 31 | Linear OA(16130, large, F16, 21) (dual of [large, large−130, 22]-code) | [i] | ||
| 32 | Linear OOA(16115, large, F16, 2, 21) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 33 | Digital (94, 115, large)-net over F16 | [i] | ||
| 34 | Linear OOA(16115, 4194301, F16, 2, 21) (dual of [(4194301, 2), 8388487, 22]-NRT-code) | [i] | OOA Folding | |
| 35 | Linear OOA(16115, 838860, F16, 21, 21) (dual of [(838860, 21), 17615945, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |