Information on Result #621970
Linear OA(2251, 276, F2, 105) (dual of [276, 25, 106]-code), using construction X applied to C2 ⊂ C1 based on
- linear OA(2235, 255, F2, 111) (dual of [255, 20, 112]-code), using code C2 for u = 8 by de Boer and Brouwer [i]
- linear OA(2227, 255, F2, 95) (dual of [255, 28, 96]-code), using code C1 for u = 8 by de Boer and Brouwer [i]
- linear OA(216, 21, F2, 9) (dual of [21, 5, 10]-code), using
- a code of Belov type defined by PG(4,2) ∖ (PG(2,2) ∪ PG(1,2)) [i]
- the expurgated narrow-sense BCH-code C(I) with length 21 | 26−1, defining interval I = [0,6], and minimum distance d ≥ |{−2,−1,…,6}|+1 = 10 (BCH-bound) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2251, 138, F2, 2, 105) (dual of [(138, 2), 25, 106]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2251, 92, F2, 3, 105) (dual of [(92, 3), 25, 106]-NRT-code) | [i] | ||
| 3 | Linear OOA(2251, 55, F2, 5, 105) (dual of [(55, 5), 24, 106]-NRT-code) | [i] | ||