Information on Result #706767
Linear OA(4118, 278, F4, 40) (dual of [278, 160, 41]-code), using construction XX applied to C1 = C([48,85]), C2 = C([52,87]), C3 = C1 + C2 = C([52,85]), and C∩ = C1 ∩ C2 = C([48,87]) based on
- linear OA(4105, 255, F4, 38) (dual of [255, 150, 39]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {48,49,…,85}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4103, 255, F4, 36) (dual of [255, 152, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,87}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4113, 255, F4, 40) (dual of [255, 142, 41]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {48,49,…,87}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,85}, and designed minimum distance d ≥ |I|+1 = 35 [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(4118, 139, F4, 2, 40) (dual of [(139, 2), 160, 41]-NRT-code) | [i] | OOA Folding | |