Information on Result #700486
Linear OA(225, 31, F2, 14) (dual of [31, 6, 15]-code), using the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 15
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(225, 31, F2, 13) (dual of [31, 6, 14]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(225, 31, F2, 12) (dual of [31, 6, 13]-code) | [i] | ||
| 3 | Linear OA(227, 33, F2, 14) (dual of [33, 6, 15]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(230, 45, F2, 12) (dual of [45, 15, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(240, 51, F2, 18) (dual of [51, 11, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(236, 47, F2, 16) (dual of [47, 11, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(239, 49, F2, 18) (dual of [49, 10, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(235, 45, F2, 16) (dual of [45, 10, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(2260, 287, F2, 110) (dual of [287, 27, 111]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 10 | Linear OA(2260, 286, F2, 110) (dual of [286, 26, 111]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 11 | Linear OOA(225, 15, F2, 2, 14) (dual of [(15, 2), 5, 15]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(225, 10, F2, 3, 14) (dual of [(10, 3), 5, 15]-NRT-code) | [i] | ||