Information on Result #706356
Linear OA(478, 270, F4, 26) (dual of [270, 192, 27]-code), using construction XX applied to C1 = C([61,85]), C2 = C([64,86]), C3 = C1 + C2 = C([64,85]), and C∩ = C1 ∩ C2 = C([61,86]) based on
- linear OA(471, 255, F4, 25) (dual of [255, 184, 26]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {61,62,…,85}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(467, 255, F4, 23) (dual of [255, 188, 24]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {64,65,…,86}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(475, 255, F4, 26) (dual of [255, 180, 27]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {61,62,…,86}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(463, 255, F4, 22) (dual of [255, 192, 23]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {64,65,…,85}, and designed minimum distance d ≥ |I|+1 = 23 [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(478, 135, F4, 2, 26) (dual of [(135, 2), 192, 27]-NRT-code) | [i] | OOA Folding | |