Information on Result #681954
Linear OA(445, 68, F4, 25) (dual of [68, 23, 26]-code), using construction X applied to C([1,77]) ⊂ C([1,68]) based on
- linear OA(443, 63, F4, 25) (dual of [63, 20, 26]-code), using contraction [i] based on linear OA(4169, 189, F4, 77) (dual of [189, 20, 78]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,77], and designed minimum distance d ≥ |I|+1 = 78 [i]
- linear OA(440, 63, F4, 22) (dual of [63, 23, 23]-code), using contraction [i] based on linear OA(4166, 189, F4, 68) (dual of [189, 23, 69]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [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 OA(454, 87, F4, 25) (dual of [87, 33, 26]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(455, 91, F4, 25) (dual of [91, 36, 26]-code) | [i] | ||
| 3 | Linear OOA(445, 34, F4, 2, 25) (dual of [(34, 2), 23, 26]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(445, 22, F4, 3, 25) (dual of [(22, 3), 21, 26]-NRT-code) | [i] | ||