Information on Result #2235443
Linear OA(452, 60, F4, 38) (dual of [60, 8, 39]-code), using 5 times truncation based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (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.
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(4112, 120, F4, 77) (dual of [120, 8, 78]-code) | [i] | Repeating Each Code Word | |
2 | Linear OA(4111, 118, F4, 77) (dual of [118, 7, 78]-code) | [i] | ||
3 | Linear OA(4110, 116, F4, 77) (dual of [116, 6, 78]-code) | [i] | ||
4 | Linear OA(4109, 114, F4, 77) (dual of [114, 5, 78]-code) | [i] | ||
5 | Linear OA(4166, 171, F4, 116) (dual of [171, 5, 117]-code) | [i] | ||
6 | Linear OA(4142, 148, F4, 102) (dual of [148, 6, 103]-code) | [i] | Juxtaposition | |
7 | Linear OA(2164, 180, F2, 77) (dual of [180, 16, 78]-code) | [i] | Concatenation of Two Codes | |
8 | Linear OA(2163, 177, F2, 77) (dual of [177, 14, 78]-code) | [i] | ||
9 | Linear OA(2162, 174, F2, 77) (dual of [174, 12, 78]-code) | [i] | ||
10 | Linear OA(2161, 171, F2, 77) (dual of [171, 10, 78]-code) | [i] | ||
11 | Linear OOA(2224, 120, F2, 2, 116) (dual of [(120, 2), 16, 117]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
12 | Linear OOA(2222, 118, F2, 2, 116) (dual of [(118, 2), 14, 117]-NRT-code) | [i] | ||
13 | Linear OOA(2220, 116, F2, 2, 116) (dual of [(116, 2), 12, 117]-NRT-code) | [i] | ||
14 | Linear OOA(452, 30, F4, 2, 38) (dual of [(30, 2), 8, 39]-NRT-code) | [i] | OOA Folding | |
15 | Linear OOA(452, 20, F4, 3, 38) (dual of [(20, 3), 8, 39]-NRT-code) | [i] |