Information on Result #706205
Linear OA(458, 268, F4, 19) (dual of [268, 210, 20]-code), using construction XX applied to C1 = C([68,85]), C2 = C([71,86]), C3 = C1 + C2 = C([71,85]), and C∩ = C1 ∩ C2 = C([68,86]) based on
- linear OA(451, 255, F4, 18) (dual of [255, 204, 19]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,85}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(449, 255, F4, 16) (dual of [255, 206, 17]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {71,72,…,86}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(455, 255, F4, 19) (dual of [255, 200, 20]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,86}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(445, 255, F4, 15) (dual of [255, 210, 16]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {71,72,…,85}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(43, 9, F4, 2) (dual of [9, 6, 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(458, 134, F4, 2, 19) (dual of [(134, 2), 210, 20]-NRT-code) | [i] | OOA Folding | |