Information on Result #621772
Linear OA(2144, 162, F2, 61) (dual of [162, 18, 62]-code), using construction XX applied toC3 ⊂ C2 ⊂ C1 based on
- linear OA(2120, 127, F2, 63) (dual of [127, 7, 64]-code), using code C3 for u = 7 by de Boer and Brouwer [i]
- linear OA(2113, 127, F2, 55) (dual of [127, 14, 56]-code), using code C2 for u = 7 by de Boer and Brouwer [i]
- linear OA(2106, 127, F2, 47) (dual of [127, 21, 48]-code), using code C1 for u = 7 by de Boer and Brouwer [i]
- linear OA(212, 23, F2, 7) (dual of [23, 11, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- linear OA(28, 12, F2, 5) (dual of [12, 4, 6]-code), using
- a code of Belov type defined by PG(3,2) ∖ PG(1,2) [i]
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 OOA(2144, 81, F2, 2, 61) (dual of [(81, 2), 18, 62]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2144, 54, F2, 3, 61) (dual of [(54, 3), 18, 62]-NRT-code) | [i] | ||