Information on Result #610995
Linear OA(232, 47, F2, 13) (dual of [47, 15, 14]-code), using construction X applied to C([0,6]) ⊂ C([1,6]) based on
- linear OA(229, 43, F2, 13) (dual of [43, 14, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 43 | 214−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(228, 43, F2, 9) (dual of [43, 15, 10]-code), using the narrow-sense BCH-code C(I) with length 43 | 214−1, defining interval I = [1,6], and minimum distance d ≥ |{1,8}| + |{0,15,30,…,−9}∖{17}| = 10 (general Roos-bound) [i]
- 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(2152, 174, F2, 60) (dual of [174, 22, 61]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 2 | Linear OA(2168, 190, F2, 61) (dual of [190, 22, 62]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |