Information on Result #706165
Linear OA(462, 281, F4, 19) (dual of [281, 219, 20]-code), using construction XX applied to C1 = C([68,84]), C2 = C([73,86]), C3 = C1 + C2 = C([73,84]), and C∩ = C1 ∩ C2 = C([68,86]) based on
- linear OA(450, 255, F4, 17) (dual of [255, 205, 18]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,84}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(441, 255, F4, 14) (dual of [255, 214, 15]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,86}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(455, 255, F4, 19) (dual of [255, 200, 20]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,86}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(436, 255, F4, 12) (dual of [255, 219, 13]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,84}, and designed minimum distance d ≥ |I|+1 = 13 [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(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(463, 282, F4, 19) (dual of [282, 219, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(462, 140, F4, 2, 19) (dual of [(140, 2), 218, 20]-NRT-code) | [i] | OOA Folding | |