Information on Result #706223
Linear OA(473, 291, F4, 22) (dual of [291, 218, 23]-code), using construction XX applied to C1 = C([68,85]), C2 = C([73,89]), C3 = C1 + C2 = C([73,85]), and C∩ = C1 ∩ C2 = C([68,89]) based on
- linear OA(451, 255, F4, 18) (dual of [255, 204, 19]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,85}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(449, 255, F4, 17) (dual of [255, 206, 18]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,89}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(463, 255, F4, 22) (dual of [255, 192, 23]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,89}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(437, 255, F4, 13) (dual of [255, 218, 14]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,85}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(46, 20, F4, 4) (dual of [20, 14, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(474, 292, F4, 22) (dual of [292, 218, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(473, 145, F4, 2, 22) (dual of [(145, 2), 217, 23]-NRT-code) | [i] | OOA Folding | |