Information on Result #2235446
Linear OA(449, 57, F4, 35) (dual of [57, 8, 36]-code), using 8 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(4106, 114, F4, 71) (dual of [114, 8, 72]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4105, 112, F4, 71) (dual of [112, 7, 72]-code) | [i] | ||
| 3 | Linear OA(4104, 110, F4, 71) (dual of [110, 6, 72]-code) | [i] | ||
| 4 | Linear OA(2155, 171, F2, 71) (dual of [171, 16, 72]-code) | [i] | Concatenation of Two Codes | |
| 5 | Linear OA(2154, 168, F2, 71) (dual of [168, 14, 72]-code) | [i] | ||
| 6 | Linear OA(2153, 165, F2, 71) (dual of [165, 12, 72]-code) | [i] | ||
| 7 | Linear OOA(2212, 114, F2, 2, 107) (dual of [(114, 2), 16, 108]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 8 | Linear OOA(2210, 112, F2, 2, 107) (dual of [(112, 2), 14, 108]-NRT-code) | [i] | ||
| 9 | Linear OOA(449, 28, F4, 2, 35) (dual of [(28, 2), 7, 36]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(449, 19, F4, 3, 35) (dual of [(19, 3), 8, 36]-NRT-code) | [i] | ||