Information on Result #609981
Linear OA(2133, 135, F2, 89) (dual of [135, 2, 90]-code), using repeating each code word 45 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(2133, 135, F2, 88) (dual of [135, 2, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2133, 135, F2, 87) (dual of [135, 2, 88]-code) | [i] | ||
| 3 | Linear OA(2133, 135, F2, 86) (dual of [135, 2, 87]-code) | [i] | ||
| 4 | Linear OA(2133, 135, F2, 85) (dual of [135, 2, 86]-code) | [i] | ||
| 5 | Linear OA(2133, 135, F2, 84) (dual of [135, 2, 85]-code) | [i] | ||
| 6 | Linear OA(2133, 135, F2, 83) (dual of [135, 2, 84]-code) | [i] | ||
| 7 | Linear OA(2133, 135, F2, 82) (dual of [135, 2, 83]-code) | [i] | ||
| 8 | Linear OA(2133, 135, F2, 81) (dual of [135, 2, 82]-code) | [i] | ||
| 9 | Linear OA(2133, 135, F2, 80) (dual of [135, 2, 81]-code) | [i] | ||
| 10 | Linear OA(2133, 135, F2, 79) (dual of [135, 2, 80]-code) | [i] | ||
| 11 | Linear OA(2133, 135, F2, 78) (dual of [135, 2, 79]-code) | [i] | ||
| 12 | Linear OA(2133, 135, F2, 77) (dual of [135, 2, 78]-code) | [i] | ||
| 13 | Linear OA(2132, 134, F2, 88) (dual of [134, 2, 89]-code) | [i] | Truncation | |
| 14 | Linear OA(2131, 133, F2, 87) (dual of [133, 2, 88]-code) | [i] | ||
| 15 | Linear OA(2129, 131, F2, 85) (dual of [131, 2, 86]-code) | [i] | ||
| 16 | Linear OA(2128, 130, F2, 84) (dual of [130, 2, 85]-code) | [i] | ||
| 17 | Linear OA(2126, 128, F2, 82) (dual of [128, 2, 83]-code) | [i] | ||
| 18 | Linear OA(2125, 127, F2, 81) (dual of [127, 2, 82]-code) | [i] | ||
| 19 | Linear OA(2123, 125, F2, 79) (dual of [125, 2, 80]-code) | [i] | ||
| 20 | Linear OA(2122, 124, F2, 78) (dual of [124, 2, 79]-code) | [i] | ||
| 21 | Linear OA(2120, 122, F2, 76) (dual of [122, 2, 77]-code) | [i] | ||
| 22 | Linear OA(2119, 121, F2, 75) (dual of [121, 2, 76]-code) | [i] | ||
| 23 | Linear OA(2117, 119, F2, 73) (dual of [119, 2, 74]-code) | [i] | ||
| 24 | Linear OA(2116, 118, F2, 72) (dual of [118, 2, 73]-code) | [i] | ||
| 25 | Linear OA(2114, 116, F2, 70) (dual of [116, 2, 71]-code) | [i] | ||
| 26 | Linear OA(2113, 115, F2, 69) (dual of [115, 2, 70]-code) | [i] | ||
| 27 | Linear OA(2111, 113, F2, 67) (dual of [113, 2, 68]-code) | [i] | ||
| 28 | Linear OA(2110, 112, F2, 66) (dual of [112, 2, 67]-code) | [i] | ||
| 29 | Linear OA(2108, 110, F2, 64) (dual of [110, 2, 65]-code) | [i] | ||
| 30 | Linear OA(2107, 109, F2, 63) (dual of [109, 2, 64]-code) | [i] | ||
| 31 | Linear OA(2105, 107, F2, 61) (dual of [107, 2, 62]-code) | [i] | ||
| 32 | Linear OA(2104, 106, F2, 60) (dual of [106, 2, 61]-code) | [i] | ||
| 33 | Linear OOA(2133, 45, F2, 3, 89) (dual of [(45, 3), 2, 90]-NRT-code) | [i] | OOA Folding | |
| 34 | Linear OOA(2133, 27, F2, 5, 89) (dual of [(27, 5), 2, 90]-NRT-code) | [i] | ||