Information on Result #621715
Linear OA(273, 83, F2, 33) (dual of [83, 10, 34]-code), using construction XX applied toC3 ⊂ C2 ⊂ C1 based on
- linear OA(260, 63, F2, 35) (dual of [63, 3, 36]-code), using code C3 for u = 6 by de Boer and Brouwer [i]
- 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(29, 16, F2, 5) (dual of [16, 7, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(29, 18, F2, 5) (dual of [18, 9, 6]-code), using
- extended quadratic residue code Qe(18,2) [i]
- discarding factors / shortening the dual code based on linear OA(29, 18, F2, 5) (dual of [18, 9, 6]-code), using
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 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 OA(2156, 166, F2, 67) (dual of [166, 10, 68]-code) | [i] | Repeating Each Code Word | |