Information on Result #2235442
Linear OA(453, 61, F4, 39) (dual of [61, 8, 40]-code), using 4 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(4114, 122, F4, 79) (dual of [122, 8, 80]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4113, 120, F4, 79) (dual of [120, 7, 80]-code) | [i] | ||
| 3 | Linear OA(4112, 118, F4, 79) (dual of [118, 6, 80]-code) | [i] | ||
| 4 | Linear OA(4111, 116, F4, 79) (dual of [116, 5, 80]-code) | [i] | ||
| 5 | Linear OA(4169, 174, F4, 119) (dual of [174, 5, 120]-code) | [i] | ||
| 6 | Linear OA(4138, 144, F4, 99) (dual of [144, 6, 100]-code) | [i] | Juxtaposition | |
| 7 | Linear OA(4143, 149, F4, 103) (dual of [149, 6, 104]-code) | [i] | ||
| 8 | Linear OA(2167, 183, F2, 79) (dual of [183, 16, 80]-code) | [i] | Concatenation of Two Codes | |
| 9 | Linear OA(2166, 180, F2, 79) (dual of [180, 14, 80]-code) | [i] | ||
| 10 | Linear OA(2165, 177, F2, 79) (dual of [177, 12, 80]-code) | [i] | ||
| 11 | Linear OA(2164, 174, F2, 79) (dual of [174, 10, 80]-code) | [i] | ||
| 12 | Linear OOA(2228, 122, F2, 2, 119) (dual of [(122, 2), 16, 120]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 13 | Linear OOA(2226, 120, F2, 2, 119) (dual of [(120, 2), 14, 120]-NRT-code) | [i] | ||
| 14 | Linear OOA(2224, 118, F2, 2, 119) (dual of [(118, 2), 12, 120]-NRT-code) | [i] | ||
| 15 | Linear OOA(453, 30, F4, 2, 39) (dual of [(30, 2), 7, 40]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(453, 20, F4, 3, 39) (dual of [(20, 3), 7, 40]-NRT-code) | [i] | ||