Information on Result #681921
Linear OA(454, 73, F4, 30) (dual of [73, 19, 31]-code), using construction X applied to C([0,89]) ⊂ C([0,77]) based on
- 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(444, 63, F4, 26) (dual of [63, 19, 27]-code), using contraction [i] based on linear OA(4170, 189, F4, 80) (dual of [189, 19, 81]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,77], and minimum distance d ≥ |{−2,−1,…,77}|+1 = 81 (BCH-bound) [i]
- linear OA(44, 10, F4, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,4)), 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.
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(454, 24, F4, 3, 30) (dual of [(24, 3), 18, 31]-NRT-code) | [i] | OOA Folding | |