Information on Result #706096
Linear OA(446, 277, F4, 14) (dual of [277, 231, 15]-code), using construction XX applied to C1 = C([73,84]), C2 = C([77,86]), C3 = C1 + C2 = C([77,84]), and C∩ = C1 ∩ C2 = C([73,86]) based on
- linear OA(436, 255, F4, 12) (dual of [255, 219, 13]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,84}, and designed minimum distance d ≥ |I|+1 = 13 [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(441, 255, F4, 14) (dual of [255, 214, 15]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,86}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- 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(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(446, 138, F4, 2, 14) (dual of [(138, 2), 230, 15]-NRT-code) | [i] | OOA Folding | |