Information on Result #613007
Linear OA(444, 48, F4, 32) (dual of [48, 4, 33]-code), using construction X applied to C([0,29]) ⊂ C([1,29]) based on
- linear OA(442, 45, F4, 32) (dual of [45, 3, 33]-code), using the expurgated narrow-sense BCH-code C(I) with length 45 | 46−1, defining interval I = [0,29], and minimum distance d ≥ |{−2,−1,…,29}|+1 = 33 (BCH-bound) [i]
- linear OA(441, 45, F4, 29) (dual of [45, 4, 30]-code), using the narrow-sense BCH-code C(I) with length 45 | 46−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), using
- dual of repetition code with length 3 [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(2136, 144, F2, 65) (dual of [144, 8, 66]-code) | [i] | Concatenation of Two Codes | |