Information on Result #681919
Linear OA(462, 75, F4, 36) (dual of [75, 13, 37]-code), using construction X applied to C([0,125]) ⊂ C([0,89]) based on
- linear OA(456, 63, F4, 42) (dual of [63, 7, 43]-code), using contraction [i] based on linear OA(4182, 189, F4, 128) (dual of [189, 7, 129]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,125], and minimum distance d ≥ |{−2,−1,…,125}|+1 = 129 (BCH-bound) [i]
- linear OA(450, 63, F4, 30) (dual of [63, 13, 31]-code), using contraction [i] based on linear OA(4176, 189, F4, 92) (dual of [189, 13, 93]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,89], and minimum distance d ≥ |{−2,−1,…,89}|+1 = 93 (BCH-bound) [i]
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [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 OOA(462, 25, F4, 3, 36) (dual of [(25, 3), 13, 37]-NRT-code) | [i] | OOA Folding | |