Information on Result #706851
Linear OA(4122, 277, F4, 42) (dual of [277, 155, 43]-code), using construction XX applied to C1 = C([45,84]), C2 = C([49,86]), C3 = C1 + C2 = C([49,84]), and C∩ = C1 ∩ C2 = C([45,86]) based on
- linear OA(4112, 255, F4, 40) (dual of [255, 143, 41]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {45,46,…,84}, and designed minimum distance d ≥ |I|+1 = 41 [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 = {49,50,…,86}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4117, 255, F4, 42) (dual of [255, 138, 43]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {45,46,…,86}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4100, 255, F4, 36) (dual of [255, 155, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,84}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), using
- linear OA(41, 6, F4, 1) (dual of [6, 5, 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(4122, 138, F4, 2, 42) (dual of [(138, 2), 154, 43]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4122, 92, F4, 3, 42) (dual of [(92, 3), 154, 43]-NRT-code) | [i] | ||