Information on Result #609998
Linear OA(282, 84, F2, 55) (dual of [84, 2, 56]-code), using repeating each code word 28 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(282, 84, F2, 54) (dual of [84, 2, 55]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(282, 84, F2, 53) (dual of [84, 2, 54]-code) | [i] | ||
| 3 | Linear OA(282, 84, F2, 52) (dual of [84, 2, 53]-code) | [i] | ||
| 4 | Linear OA(282, 84, F2, 51) (dual of [84, 2, 52]-code) | [i] | ||
| 5 | Linear OA(282, 84, F2, 50) (dual of [84, 2, 51]-code) | [i] | ||
| 6 | Linear OA(282, 84, F2, 49) (dual of [84, 2, 50]-code) | [i] | ||
| 7 | Linear OA(282, 84, F2, 48) (dual of [84, 2, 49]-code) | [i] | ||
| 8 | Linear OA(281, 83, F2, 54) (dual of [83, 2, 55]-code) | [i] | Truncation | |
| 9 | Linear OA(280, 82, F2, 53) (dual of [82, 2, 54]-code) | [i] | ||
| 10 | Linear OA(278, 80, F2, 51) (dual of [80, 2, 52]-code) | [i] | ||
| 11 | Linear OA(277, 79, F2, 50) (dual of [79, 2, 51]-code) | [i] | ||
| 12 | Linear OA(275, 77, F2, 48) (dual of [77, 2, 49]-code) | [i] | ||
| 13 | Linear OA(274, 76, F2, 47) (dual of [76, 2, 48]-code) | [i] | ||
| 14 | Linear OA(272, 74, F2, 45) (dual of [74, 2, 46]-code) | [i] | ||
| 15 | Linear OA(271, 73, F2, 44) (dual of [73, 2, 45]-code) | [i] | ||
| 16 | Linear OA(269, 71, F2, 42) (dual of [71, 2, 43]-code) | [i] | ||
| 17 | Linear OA(268, 70, F2, 41) (dual of [70, 2, 42]-code) | [i] | ||
| 18 | Linear OA(266, 68, F2, 39) (dual of [68, 2, 40]-code) | [i] | ||
| 19 | Linear OA(265, 67, F2, 38) (dual of [67, 2, 39]-code) | [i] | ||
| 20 | Linear OOA(282, 42, F2, 2, 55) (dual of [(42, 2), 2, 56]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(282, 28, F2, 3, 55) (dual of [(28, 3), 2, 56]-NRT-code) | [i] | ||
| 22 | Linear OOA(282, 12, F2, 7, 55) (dual of [(12, 7), 2, 56]-NRT-code) | [i] | ||