Information on Result #706662
Linear OA(4119, 287, F4, 39) (dual of [287, 168, 40]-code), using construction XX applied to C1 = C([51,85]), C2 = C([56,89]), C3 = C1 + C2 = C([56,85]), and C∩ = C1 ∩ C2 = C([51,89]) based on
- linear OA(497, 255, F4, 35) (dual of [255, 158, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,85}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(499, 255, F4, 34) (dual of [255, 156, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {56,57,…,89}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4109, 255, F4, 39) (dual of [255, 146, 40]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,89}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(487, 255, F4, 30) (dual of [255, 168, 31]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {56,57,…,85}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(46, 16, F4, 4) (dual of [16, 10, 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(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), 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(4119, 143, F4, 2, 39) (dual of [(143, 2), 167, 40]-NRT-code) | [i] | OOA Folding | |