Information on Result #736256
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(29, 23, F2, 4) (dual of [23, 14, 5]-code) | [i] | Truncation | |
| 2 | Linear OA(2109, 151, F2, 37) (dual of [151, 42, 38]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(2108, 151, F2, 36) (dual of [151, 43, 37]-code) | [i] | ||
| 4 | Linear OA(275, 158, F2, 20) (dual of [158, 83, 21]-code) | [i] | Construction XX with Cyclic Codes | |
| 5 | Linear OA(275, 157, F2, 21) (dual of [157, 82, 22]-code) | [i] | ||
| 6 | Linear OA(2160, 287, F2, 44) (dual of [287, 127, 45]-code) | [i] | ||
| 7 | Linear OA(2160, 286, F2, 45) (dual of [286, 126, 46]-code) | [i] | ||
| 8 | Linear OA(2168, 287, F2, 46) (dual of [287, 119, 47]-code) | [i] | ||
| 9 | Linear OA(2168, 286, F2, 47) (dual of [286, 118, 48]-code) | [i] | ||
| 10 | Linear OA(2173, 300, F2, 46) (dual of [300, 127, 47]-code) | [i] | ||
| 11 | Linear OA(2173, 299, F2, 47) (dual of [299, 126, 48]-code) | [i] | ||
| 12 | Linear OA(2188, 287, F2, 54) (dual of [287, 99, 55]-code) | [i] | ||
| 13 | Linear OA(2188, 286, F2, 55) (dual of [286, 98, 56]-code) | [i] | ||
| 14 | Linear OA(2245, 292, F2, 95) (dual of [292, 47, 96]-code) | [i] | ||
| 15 | Linear OA(2242, 289, F2, 94) (dual of [289, 47, 95]-code) | [i] | ||
| 16 | Linear OA(2256, 303, F2, 96) (dual of [303, 47, 97]-code) | [i] | ||
| 17 | Linear OA(2257, 299, F2, 98) (dual of [299, 42, 99]-code) | [i] | ||
| 18 | Linear OA(2256, 302, F2, 97) (dual of [302, 46, 98]-code) | [i] | ||
| 19 | Linear OA(2250, 288, F2, 99) (dual of [288, 38, 100]-code) | [i] | ||
| 20 | Linear OA(2165, 544, F2, 36) (dual of [544, 379, 37]-code) | [i] | ||
| 21 | Linear OA(2165, 543, F2, 37) (dual of [543, 378, 38]-code) | [i] | ||
| 22 | Linear OA(2174, 544, F2, 38) (dual of [544, 370, 39]-code) | [i] | ||
| 23 | Linear OA(2174, 543, F2, 39) (dual of [543, 369, 40]-code) | [i] | ||
| 24 | Linear OA(2179, 558, F2, 38) (dual of [558, 379, 39]-code) | [i] | ||
| 25 | Linear OA(2179, 557, F2, 39) (dual of [557, 378, 40]-code) | [i] | ||
| 26 | Linear OA(2232, 565, F2, 51) (dual of [565, 333, 52]-code) | [i] | ||
| 27 | Linear OA(2231, 563, F2, 51) (dual of [563, 332, 52]-code) | [i] | ||
| 28 | Linear OA(2228, 544, F2, 52) (dual of [544, 316, 53]-code) | [i] | ||
| 29 | Linear OA(2228, 543, F2, 53) (dual of [543, 315, 54]-code) | [i] | ||
| 30 | Linear OA(2237, 544, F2, 54) (dual of [544, 307, 55]-code) | [i] | ||
| 31 | Linear OA(2237, 543, F2, 55) (dual of [543, 306, 56]-code) | [i] | ||
| 32 | Linear OA(2242, 558, F2, 54) (dual of [558, 316, 55]-code) | [i] | ||
| 33 | Linear OA(2242, 557, F2, 55) (dual of [557, 315, 56]-code) | [i] | ||
| 34 | Linear OA(2227, 534, F2, 53) (dual of [534, 307, 54]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 35 | Linear OA(2218, 534, F2, 51) (dual of [534, 316, 52]-code) | [i] | ||
| 36 | Linear OA(2164, 534, F2, 37) (dual of [534, 370, 38]-code) | [i] | ||
| 37 | Linear OA(2155, 534, F2, 35) (dual of [534, 379, 36]-code) | [i] | ||
| 38 | Linear OA(2229, 276, F2, 91) (dual of [276, 47, 92]-code) | [i] | ||
| 39 | Linear OA(2195, 278, F2, 59) (dual of [278, 83, 60]-code) | [i] | ||
| 40 | Linear OA(2179, 278, F2, 53) (dual of [278, 99, 54]-code) | [i] | ||
| 41 | Linear OA(2175, 278, F2, 51) (dual of [278, 103, 52]-code) | [i] | ||
| 42 | Linear OA(2159, 278, F2, 45) (dual of [278, 119, 46]-code) | [i] | ||
| 43 | Linear OA(2151, 278, F2, 43) (dual of [278, 127, 44]-code) | [i] | ||
| 44 | Linear OA(288, 150, F2, 27) (dual of [150, 62, 28]-code) | [i] | ||
| 45 | Linear OA(274, 150, F2, 21) (dual of [150, 76, 22]-code) | [i] | ||
| 46 | Linear OA(267, 150, F2, 19) (dual of [150, 83, 20]-code) | [i] | ||
| 47 | Linear OA(2218, 536, F2, 51) (dual of [536, 318, 52]-code) | [i] | ||
| 48 | Linear OA(2155, 536, F2, 35) (dual of [536, 381, 36]-code) | [i] | ||
| 49 | Linear OA(2195, 280, F2, 59) (dual of [280, 85, 60]-code) | [i] | ||
| 50 | Linear OA(2151, 280, F2, 43) (dual of [280, 129, 44]-code) | [i] | ||
| 51 | Linear OA(2135, 280, F2, 35) (dual of [280, 145, 36]-code) | [i] | ||
| 52 | Linear OA(288, 152, F2, 27) (dual of [152, 64, 28]-code) | [i] | ||
| 53 | Linear OA(267, 152, F2, 19) (dual of [152, 85, 20]-code) | [i] | ||
| 54 | Linear OA(2182, 283, F2, 53) (dual of [283, 101, 54]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 55 | Linear OA(2181, 281, F2, 53) (dual of [281, 100, 54]-code) | [i] | ||
| 56 | Linear OOA(210, 12, F2, 2, 5) (dual of [(12, 2), 14, 6]-NRT-code) | [i] | OOA Folding | |