Information on Result #609985
Linear OA(2121, 123, F2, 81) (dual of [123, 2, 82]-code), using repeating each code word 41 times based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(2121, 123, F2, 80) (dual of [123, 2, 81]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2121, 123, F2, 79) (dual of [123, 2, 80]-code) | [i] | ||
| 3 | Linear OA(2121, 123, F2, 78) (dual of [123, 2, 79]-code) | [i] | ||
| 4 | Linear OA(2121, 123, F2, 77) (dual of [123, 2, 78]-code) | [i] | ||
| 5 | Linear OA(2121, 123, F2, 76) (dual of [123, 2, 77]-code) | [i] | ||
| 6 | Linear OA(2121, 123, F2, 75) (dual of [123, 2, 76]-code) | [i] | ||
| 7 | Linear OA(2121, 123, F2, 74) (dual of [123, 2, 75]-code) | [i] | ||
| 8 | Linear OA(2121, 123, F2, 73) (dual of [123, 2, 74]-code) | [i] | ||
| 9 | Linear OA(2121, 123, F2, 72) (dual of [123, 2, 73]-code) | [i] | ||
| 10 | Linear OA(2121, 123, F2, 71) (dual of [123, 2, 72]-code) | [i] | ||
| 11 | Linear OA(2121, 123, F2, 70) (dual of [123, 2, 71]-code) | [i] | ||
| 12 | Linear OA(2120, 122, F2, 80) (dual of [122, 2, 81]-code) | [i] | Truncation | |
| 13 | Linear OA(2119, 121, F2, 79) (dual of [121, 2, 80]-code) | [i] | ||
| 14 | Linear OA(2117, 119, F2, 77) (dual of [119, 2, 78]-code) | [i] | ||
| 15 | Linear OA(2116, 118, F2, 76) (dual of [118, 2, 77]-code) | [i] | ||
| 16 | Linear OA(2114, 116, F2, 74) (dual of [116, 2, 75]-code) | [i] | ||
| 17 | Linear OA(2113, 115, F2, 73) (dual of [115, 2, 74]-code) | [i] | ||
| 18 | Linear OA(2111, 113, F2, 71) (dual of [113, 2, 72]-code) | [i] | ||
| 19 | Linear OA(2110, 112, F2, 70) (dual of [112, 2, 71]-code) | [i] | ||
| 20 | Linear OA(2108, 110, F2, 68) (dual of [110, 2, 69]-code) | [i] | ||
| 21 | Linear OA(2107, 109, F2, 67) (dual of [109, 2, 68]-code) | [i] | ||
| 22 | Linear OA(2105, 107, F2, 65) (dual of [107, 2, 66]-code) | [i] | ||
| 23 | Linear OA(2104, 106, F2, 64) (dual of [106, 2, 65]-code) | [i] | ||
| 24 | Linear OA(2102, 104, F2, 62) (dual of [104, 2, 63]-code) | [i] | ||
| 25 | Linear OA(2101, 103, F2, 61) (dual of [103, 2, 62]-code) | [i] | ||
| 26 | Linear OA(299, 101, F2, 59) (dual of [101, 2, 60]-code) | [i] | ||
| 27 | Linear OA(298, 100, F2, 58) (dual of [100, 2, 59]-code) | [i] | ||
| 28 | Linear OA(296, 98, F2, 56) (dual of [98, 2, 57]-code) | [i] | ||
| 29 | Linear OOA(2121, 41, F2, 3, 81) (dual of [(41, 3), 2, 82]-NRT-code) | [i] | OOA Folding | |