Information on Result #677863
Linear OA(490, 4194328, F4, 11) (dual of [4194328, 4194238, 12]-code), using construction X applied to C([0,5]) ⊂ C([0,4]) based on
- linear OA(489, 4194305, F4, 11) (dual of [4194305, 4194216, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(467, 4194305, F4, 9) (dual of [4194305, 4194238, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(41, 23, F4, 1) (dual of [23, 22, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(490, 2097164, F4, 2, 11) (dual of [(2097164, 2), 4194238, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(490, 1398109, F4, 3, 11) (dual of [(1398109, 3), 4194237, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(490, 838865, F4, 11, 11) (dual of [(838865, 11), 9227425, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |