Information on Result #674203
Linear OA(226, 32, F2, 15) (dual of [32, 6, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(226, 32, F2, 14) (dual of [32, 6, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(226, 32, F2, 13) (dual of [32, 6, 14]-code) | [i] | ||
| 3 | Linear OA(227, 33, F2, 15) (dual of [33, 6, 16]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(228, 34, F2, 15) (dual of [34, 6, 16]-code) | [i] | ||
| 5 | Linear OA(224, 30, F2, 13) (dual of [30, 6, 14]-code) | [i] | Truncation | |
| 6 | Linear OA(223, 29, F2, 12) (dual of [29, 6, 13]-code) | [i] | ||
| 7 | Linear OA(232, 38, F2, 17) (dual of [38, 6, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(230, 40, F2, 15) (dual of [40, 10, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(231, 42, F2, 15) (dual of [42, 11, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(2132, 159, F2, 47) (dual of [159, 27, 48]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 11 | Linear OA(2131, 159, F2, 46) (dual of [159, 28, 47]-code) | [i] | ||
| 12 | Linear OA(2173, 200, F2, 57) (dual of [200, 27, 58]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 13 | Linear OA(2153, 180, F2, 49) (dual of [180, 27, 50]-code) | [i] | ||
| 14 | Linear OA(2156, 183, F2, 53) (dual of [183, 27, 54]-code) | [i] | ||
| 15 | Linear OA(2151, 178, F2, 51) (dual of [178, 27, 52]-code) | [i] | ||
| 16 | Linear OA(2146, 173, F2, 49) (dual of [173, 27, 50]-code) | [i] | ||
| 17 | Linear OA(2172, 200, F2, 56) (dual of [200, 28, 57]-code) | [i] | ||
| 18 | Linear OA(2155, 183, F2, 52) (dual of [183, 28, 53]-code) | [i] | ||
| 19 | Linear OA(2150, 178, F2, 50) (dual of [178, 28, 51]-code) | [i] | ||
| 20 | Linear OA(2145, 173, F2, 48) (dual of [173, 28, 49]-code) | [i] | ||
| 21 | Linear OA(2236, 289, F2, 80) (dual of [289, 53, 81]-code) | [i] | Construction X with Varšamov Bound | |
| 22 | Linear OA(2256, 309, F2, 88) (dual of [309, 53, 89]-code) | [i] | ||
| 23 | Linear OOA(226, 16, F2, 2, 15) (dual of [(16, 2), 6, 16]-NRT-code) | [i] | OOA Folding | |