Information on Result #706168
Linear OA(461, 279, F4, 19) (dual of [279, 218, 20]-code), using construction XX applied to C1 = C([68,85]), C2 = C([73,86]), C3 = C1 + C2 = C([73,85]), and C∩ = C1 ∩ C2 = C([68,86]) 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(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(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(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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 OOA(461, 139, F4, 2, 19) (dual of [(139, 2), 217, 20]-NRT-code) | [i] | OOA Folding | |