Information on Result #731758
Linear OA(4133, 141, F4, 92) (dual of [141, 8, 93]-code), using juxtaposition based on
- linear OA(456, 64, F4, 42) (dual of [64, 8, 43]-code), using
- an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(469, 77, F4, 49) (dual of [77, 8, 50]-code), using
- construction X applied to C([0,25]) ⊂ C([0,21]) [i] based on
- linear OA(463, 65, F4, 51) (dual of [65, 2, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,25], and minimum distance d ≥ |{−15,−4,7,…,15}|+1 = 52 (BCH-bound) [i]
- 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]
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- construction X applied to C([0,25]) ⊂ C([0,21]) [i] based on
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(4133, 141, F4, 91) (dual of [141, 8, 92]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4133, 141, F4, 90) (dual of [141, 8, 91]-code) | [i] | ||
| 3 | Linear OOA(4133, 47, F4, 3, 92) (dual of [(47, 3), 8, 93]-NRT-code) | [i] | OOA Folding | |