Information on Result #707085
Linear OA(4202, 283, F4, 92) (dual of [283, 81, 93]-code), using construction XX applied to C1 = C([250,84]), C2 = C([1,86]), C3 = C1 + C2 = C([1,84]), and C∩ = C1 ∩ C2 = C([250,86]) based on
- linear OA(4187, 255, F4, 90) (dual of [255, 68, 91]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,84}, and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(4179, 255, F4, 86) (dual of [255, 76, 87]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,86], and designed minimum distance d ≥ |I|+1 = 87 [i]
- linear OA(4192, 255, F4, 92) (dual of [255, 63, 93]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,86}, and designed minimum distance d ≥ |I|+1 = 93 [i]
- linear OA(4174, 255, F4, 84) (dual of [255, 81, 85]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(49, 22, F4, 5) (dual of [22, 13, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), 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 OA(4202, 283, F4, 91) (dual of [283, 81, 92]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4202, 283, F4, 90) (dual of [283, 81, 91]-code) | [i] | ||