Information on Result #2235445
Linear OA(450, 58, F4, 36) (dual of [58, 8, 37]-code), using 7 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(4108, 116, F4, 73) (dual of [116, 8, 74]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4107, 114, F4, 73) (dual of [114, 7, 74]-code) | [i] | ||
| 3 | Linear OA(4106, 112, F4, 73) (dual of [112, 6, 74]-code) | [i] | ||
| 4 | Linear OA(4105, 110, F4, 73) (dual of [110, 5, 74]-code) | [i] | ||
| 5 | Linear OA(4160, 165, F4, 110) (dual of [165, 5, 111]-code) | [i] | ||
| 6 | Linear OA(4140, 146, F4, 100) (dual of [146, 6, 101]-code) | [i] | Juxtaposition | |
| 7 | Linear OA(2158, 174, F2, 73) (dual of [174, 16, 74]-code) | [i] | Concatenation of Two Codes | |
| 8 | Linear OA(2157, 171, F2, 73) (dual of [171, 14, 74]-code) | [i] | ||
| 9 | Linear OA(2156, 168, F2, 73) (dual of [168, 12, 74]-code) | [i] | ||
| 10 | Linear OA(2155, 165, F2, 73) (dual of [165, 10, 74]-code) | [i] | ||
| 11 | Linear OOA(2216, 116, F2, 2, 110) (dual of [(116, 2), 16, 111]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 12 | Linear OOA(2214, 114, F2, 2, 110) (dual of [(114, 2), 14, 111]-NRT-code) | [i] | ||
| 13 | Linear OOA(2212, 112, F2, 2, 110) (dual of [(112, 2), 12, 111]-NRT-code) | [i] | ||
| 14 | Linear OOA(450, 29, F4, 2, 36) (dual of [(29, 2), 8, 37]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(450, 19, F4, 3, 36) (dual of [(19, 3), 7, 37]-NRT-code) | [i] | ||