Information on Result #621692
Linear OA(255, 70, F2, 25) (dual of [70, 15, 26]-code), using construction X applied to C2 ⊂ C1 based on
- linear OA(254, 63, F2, 27) (dual of [63, 9, 28]-code), using code C2 for u = 6 by de Boer and Brouwer [i]
- linear OA(248, 63, F2, 23) (dual of [63, 15, 24]-code), using code C1 for u = 6 by de Boer and Brouwer [i]
- linear OA(21, 7, F2, 1) (dual of [7, 6, 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(2195, 210, F2, 77) (dual of [210, 15, 78]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(2193, 207, F2, 77) (dual of [207, 14, 78]-code) | [i] | ||
| 3 | Linear OA(2191, 204, F2, 77) (dual of [204, 13, 78]-code) | [i] | ||
| 4 | Linear OA(2189, 201, F2, 77) (dual of [201, 12, 78]-code) | [i] | ||
| 5 | Linear OA(2175, 197, F2, 57) (dual of [197, 22, 58]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 6 | Linear OOA(255, 35, F2, 2, 25) (dual of [(35, 2), 15, 26]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(255, 23, F2, 3, 25) (dual of [(23, 3), 14, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(255, 14, F2, 5, 25) (dual of [(14, 5), 15, 26]-NRT-code) | [i] | ||