Information on Result #706675
Linear OA(4113, 279, F4, 38) (dual of [279, 166, 39]-code), using construction XX applied to C1 = C([69,102]), C2 = C([65,98]), C3 = C1 + C2 = C([69,98]), and C∩ = C1 ∩ C2 = C([65,102]) based on
- 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(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 = {65,66,…,98}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- 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 = {65,66,…,102}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(489, 255, F4, 30) (dual of [255, 166, 31]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,98}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(44, 10, F4, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,4)), using
- linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), using
- discarding factors / shortening the dual code based on linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)) (see above)
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(4113, 139, F4, 2, 38) (dual of [(139, 2), 165, 39]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4113, 93, F4, 3, 38) (dual of [(93, 3), 166, 39]-NRT-code) | [i] | ||