Information on Result #610801
Linear OA(221, 42, F2, 9) (dual of [42, 21, 10]-code), using extended quadratic residue code Qe(42,2)
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(220, 41, F2, 8) (dual of [41, 21, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(2120, 162, F2, 41) (dual of [162, 42, 42]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(2119, 162, F2, 40) (dual of [162, 43, 41]-code) | [i] | ||
| 4 | Linear OA(2254, 292, F2, 99) (dual of [292, 38, 100]-code) | [i] | ||
| 5 | Linear OA(2155, 306, F2, 38) (dual of [306, 151, 39]-code) | [i] | Construction XX with Cyclic Codes | |
| 6 | Linear OA(2256, 293, F2, 101) (dual of [293, 37, 102]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(2256, 298, F2, 97) (dual of [298, 42, 98]-code) | [i] | ||
| 8 | Linear OA(2248, 295, F2, 95) (dual of [295, 47, 96]-code) | [i] | ||
| 9 | Linear OA(2162, 298, F2, 41) (dual of [298, 136, 42]-code) | [i] | ||
| 10 | Linear OA(2154, 298, F2, 39) (dual of [298, 144, 40]-code) | [i] | ||
| 11 | Linear OA(2146, 298, F2, 37) (dual of [298, 152, 38]-code) | [i] | ||
| 12 | Linear OA(2134, 163, F2, 53) (dual of [163, 29, 54]-code) | [i] | ||
| 13 | Linear OA(2260, 298, F2, 101) (dual of [298, 38, 102]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 14 | Linear OA(281, 96, F2, 33) (dual of [96, 15, 34]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 15 | Linear OA(2141, 162, F2, 57) (dual of [162, 21, 58]-code) | [i] | ||
| 16 | Linear OA(2140, 162, F2, 56) (dual of [162, 22, 57]-code) | [i] | ||
| 17 | Linear OA(2173, 200, F2, 57) (dual of [200, 27, 58]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 18 | Linear OA(2172, 198, F2, 57) (dual of [198, 26, 58]-code) | [i] | ||
| 19 | Linear OA(2171, 196, F2, 57) (dual of [196, 25, 58]-code) | [i] | ||
| 20 | Linear OA(2169, 193, F2, 57) (dual of [193, 24, 58]-code) | [i] | ||
| 21 | Linear OA(2165, 188, F2, 57) (dual of [188, 23, 58]-code) | [i] | ||
| 22 | Linear OA(2157, 179, F2, 57) (dual of [179, 22, 58]-code) | [i] | ||
| 23 | Linear OA(2172, 200, F2, 56) (dual of [200, 28, 57]-code) | [i] | ||
| 24 | Linear OA(2171, 198, F2, 56) (dual of [198, 27, 57]-code) | [i] | ||
| 25 | Linear OA(2170, 196, F2, 56) (dual of [196, 26, 57]-code) | [i] | ||
| 26 | Linear OA(2168, 193, F2, 56) (dual of [193, 25, 57]-code) | [i] | ||
| 27 | Linear OA(2164, 188, F2, 56) (dual of [188, 24, 57]-code) | [i] | ||
| 28 | Linear OA(2156, 179, F2, 56) (dual of [179, 23, 57]-code) | [i] | ||
| 29 | Linear OOA(221, 21, F2, 2, 9) (dual of [(21, 2), 21, 10]-NRT-code) | [i] | OOA Folding | |
| 30 | Linear OOA(221, 14, F2, 3, 9) (dual of [(14, 3), 21, 10]-NRT-code) | [i] | ||