Information on Result #619843
Linear OA(25667, large, F256, 23) (dual of [large, large−67, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24
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(25667, large, F256, 22) (dual of [large, large−67, 23]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(25667, large, F256, 21) (dual of [large, large−67, 22]-code) | [i] | ||
| 3 | Linear OA(25667, large, F256, 20) (dual of [large, large−67, 21]-code) | [i] | ||
| 4 | Linear OA(25667, large, F256, 19) (dual of [large, large−67, 20]-code) | [i] | ||
| 5 | Linear OA(25667, large, F256, 18) (dual of [large, large−67, 19]-code) | [i] | ||
| 6 | Linear OA(25667, large, F256, 17) (dual of [large, large−67, 18]-code) | [i] | ||
| 7 | Linear OA(25667, large, F256, 16) (dual of [large, large−67, 17]-code) | [i] | ||
| 8 | Linear OA(25667, large, F256, 15) (dual of [large, large−67, 16]-code) | [i] | ||
| 9 | Linear OA(25667, large, F256, 14) (dual of [large, large−67, 15]-code) | [i] | ||
| 10 | Linear OA(25667, large, F256, 13) (dual of [large, large−67, 14]-code) | [i] | ||
| 11 | Linear OA(25667, large, F256, 12) (dual of [large, large−67, 13]-code) | [i] | ||
| 12 | Linear OA(25667, large, F256, 11) (dual of [large, large−67, 12]-code) | [i] | ||
| 13 | Linear OA(25667, large, F256, 10) (dual of [large, large−67, 11]-code) | [i] | ||
| 14 | Linear OA(25667, large, F256, 9) (dual of [large, large−67, 10]-code) | [i] | ||
| 15 | Linear OA(25667, large, F256, 8) (dual of [large, large−67, 9]-code) | [i] | ||
| 16 | Linear OA(25667, large, F256, 7) (dual of [large, large−67, 8]-code) | [i] | ||
| 17 | Linear OA(25667, large, F256, 6) (dual of [large, large−67, 7]-code) | [i] | ||
| 18 | Linear OA(25667, large, F256, 5) (dual of [large, large−67, 6]-code) | [i] | ||
| 19 | Linear OA(25667, large, F256, 4) (dual of [large, large−67, 5]-code) | [i] | ||
| 20 | Linear OA(25667, large, F256, 3) (dual of [large, large−67, 4]-code) | [i] | ||
| 21 | Linear OA(25668, large, F256, 23) (dual of [large, large−68, 24]-code) | [i] | Code Embedding in Larger Space | |
| 22 | OA(12877, large, S128, 23) | [i] | Discarding Parts of the Base for OAs | |
| 23 | Linear OOA(25667, 4194301, F256, 2, 23) (dual of [(4194301, 2), 8388535, 24]-NRT-code) | [i] | OOA Folding | |
| 24 | Linear OOA(25667, 2796201, F256, 3, 23) (dual of [(2796201, 3), 8388536, 24]-NRT-code) | [i] | ||
| 25 | Linear OOA(25667, 2097150, F256, 4, 23) (dual of [(2097150, 4), 8388533, 24]-NRT-code) | [i] | ||
| 26 | Linear OOA(25667, 1677720, F256, 5, 23) (dual of [(1677720, 5), 8388533, 24]-NRT-code) | [i] | ||
| 27 | Linear OOA(25667, 1398100, F256, 6, 23) (dual of [(1398100, 6), 8388533, 24]-NRT-code) | [i] | ||
| 28 | Linear OOA(25667, 762600, F256, 23, 23) (dual of [(762600, 23), 17539733, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |