Information on Result #621674
Linear OA(237, 49, F2, 15) (dual of [49, 12, 16]-code), using construction XX applied toC2 ⊂ C1 ⊂ C0 based on
- linear OA(226, 31, F2, 15) (dual of [31, 5, 16]-code), using code C2 for u = 5 by de Boer and Brouwer [i]
- linear OA(221, 31, F2, 11) (dual of [31, 10, 12]-code), using code C1 for u = 5 by de Boer and Brouwer [i]
- linear OA(216, 31, F2, 7) (dual of [31, 15, 8]-code), using code C0 for u = 5 by de Boer and Brouwer [i]
- linear OA(25, 12, F2, 3) (dual of [12, 7, 4]-code or 12-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), using
- linear OA(24, 6, F2, 3) (dual of [6, 2, 4]-code or 6-cap in PG(3,2)), using
- discarding factors / shortening the dual code based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
- Simplex code S(3,2) [i]
- discarding factors / shortening the dual code based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), 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
None.