Information on Result #610974
Linear OA(221, 32, F2, 11) (dual of [32, 11, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(221, 32, F2, 10) (dual of [32, 11, 11]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(222, 33, F2, 11) (dual of [33, 11, 12]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(223, 34, F2, 11) (dual of [34, 11, 12]-code) | [i] | ||
| 4 | Linear OA(219, 30, F2, 9) (dual of [30, 11, 10]-code) | [i] | Truncation | |
| 5 | Linear OA(218, 29, F2, 8) (dual of [29, 11, 9]-code) | [i] | ||
| 6 | Linear OA(2120, 159, F2, 43) (dual of [159, 39, 44]-code) | [i] | Construction X with Cyclic Codes | |
| 7 | Linear OA(2119, 159, F2, 42) (dual of [159, 40, 43]-code) | [i] | ||
| 8 | Linear OA(2146, 172, F2, 58) (dual of [172, 26, 59]-code) | [i] | Construction XX with Cyclic Codes | |
| 9 | Linear OA(2142, 168, F2, 56) (dual of [168, 26, 57]-code) | [i] | ||
| 10 | Linear OA(2146, 171, F2, 59) (dual of [171, 25, 60]-code) | [i] | ||
| 11 | Linear OA(2142, 167, F2, 57) (dual of [167, 25, 58]-code) | [i] | ||
| 12 | Linear OA(2134, 160, F2, 55) (dual of [160, 26, 56]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 13 | Linear OA(230, 40, F2, 15) (dual of [40, 10, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(231, 42, F2, 15) (dual of [42, 11, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(243, 54, F2, 19) (dual of [54, 11, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(2260, 292, F2, 105) (dual of [292, 32, 106]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 17 | Linear OA(281, 95, F2, 35) (dual of [95, 14, 36]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 18 | Linear OA(275, 95, F2, 27) (dual of [95, 20, 28]-code) | [i] | ||
| 19 | Linear OA(2141, 159, F2, 59) (dual of [159, 18, 60]-code) | [i] | ||
| 20 | Linear OA(2140, 159, F2, 58) (dual of [159, 19, 59]-code) | [i] | ||
| 21 | Linear OOA(221, 16, F2, 2, 11) (dual of [(16, 2), 11, 12]-NRT-code) | [i] | OOA Folding | |