Information on Result #706059
Linear OA(436, 270, F4, 11) (dual of [270, 234, 12]-code), using construction XX applied to C1 = C([76,85]), C2 = C([79,86]), C3 = C1 + C2 = C([79,85]), and C∩ = C1 ∩ C2 = C([76,86]) based on
- 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 = {76,77,…,85}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(425, 255, F4, 8) (dual of [255, 230, 9]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {79,80,…,86}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(433, 255, F4, 11) (dual of [255, 222, 12]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {76,77,…,86}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(421, 255, F4, 7) (dual of [255, 234, 8]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {79,80,…,85}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(43, 11, F4, 2) (dual of [11, 8, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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(436, 135, F4, 2, 11) (dual of [(135, 2), 234, 12]-NRT-code) | [i] | OOA Folding | |