Information on Result #706182
Linear OA(460, 275, F4, 19) (dual of [275, 215, 20]-code), using construction XX applied to C1 = C([68,84]), C2 = C([72,86]), C3 = C1 + C2 = C([72,84]), 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(445, 255, F4, 15) (dual of [255, 210, 16]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {72,73,…,86}, and designed minimum distance d ≥ |I|+1 = 16 [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(440, 255, F4, 13) (dual of [255, 215, 14]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {72,73,…,84}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), 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 OOA(460, 137, F4, 2, 19) (dual of [(137, 2), 214, 20]-NRT-code) | [i] | OOA Folding | |