Information on Result #706030
Linear OA(434, 277, F4, 10) (dual of [277, 243, 11]-code), using construction XX applied to C1 = C([77,84]), C2 = C([81,86]), C3 = C1 + C2 = C([81,84]), and C∩ = C1 ∩ C2 = C([77,86]) based on
- linear OA(424, 255, F4, 8) (dual of [255, 231, 9]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {77,78,…,84}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(417, 255, F4, 6) (dual of [255, 238, 7]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {81,82,…,86}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(429, 255, F4, 10) (dual of [255, 226, 11]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {77,78,…,86}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(412, 255, F4, 4) (dual of [255, 243, 5]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {81,82,83,84}, and designed minimum distance d ≥ |I|+1 = 5 [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(434, 138, F4, 2, 10) (dual of [(138, 2), 242, 11]-NRT-code) | [i] | OOA Folding | |