Information on Result #706541
Linear OA(4106, 285, F4, 34) (dual of [285, 179, 35]-code), using construction XX applied to C1 = C([73,102]), C2 = C([69,97]), C3 = C1 + C2 = C([73,97]), and C∩ = C1 ∩ C2 = C([69,102]) based on
- 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 = {73,74,…,102}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(485, 255, F4, 29) (dual of [255, 170, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,97}, and designed minimum distance d ≥ |I|+1 = 30 [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 = {69,70,…,102}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(473, 255, F4, 25) (dual of [255, 182, 26]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,97}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(46, 17, F4, 4) (dual of [17, 11, 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, 13, F4, 3) (dual of [13, 9, 4]-code or 13-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(4106, 142, F4, 2, 34) (dual of [(142, 2), 178, 35]-NRT-code) | [i] | OOA Folding | |