Information on Result #706208
Linear OA(464, 278, F4, 20) (dual of [278, 214, 21]-code), using construction XX applied to C1 = C([68,85]), C2 = C([72,87]), C3 = C1 + C2 = C([72,85]), and C∩ = C1 ∩ C2 = C([68,87]) 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, 16) (dual of [255, 206, 17]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {72,73,…,87}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(459, 255, F4, 20) (dual of [255, 196, 21]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,87}, and designed minimum distance d ≥ |I|+1 = 21 [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 = {72,73,…,85}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), using
- linear OA(41, 9, F4, 1) (dual of [9, 8, 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(464, 139, F4, 2, 20) (dual of [(139, 2), 214, 21]-NRT-code) | [i] | OOA Folding | |