Information on Result #707103
Linear OA(4192, 271, F4, 91) (dual of [271, 79, 92]-code), using construction XX applied to C1 = C([251,85]), C2 = C([0,86]), C3 = C1 + C2 = C([0,85]), and C∩ = C1 ∩ C2 = C([251,86]) based on
- linear OA(4184, 255, F4, 90) (dual of [255, 71, 91]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,85}, and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(4180, 255, F4, 87) (dual of [255, 75, 88]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,86], and designed minimum distance d ≥ |I|+1 = 88 [i]
- linear OA(4188, 255, F4, 91) (dual of [255, 67, 92]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,86}, and designed minimum distance d ≥ |I|+1 = 92 [i]
- linear OA(4176, 255, F4, 86) (dual of [255, 79, 87]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,85], and designed minimum distance d ≥ |I|+1 = 87 [i]
- linear OA(44, 12, F4, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,4)), 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(4192, 135, F4, 2, 91) (dual of [(135, 2), 78, 92]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4192, 90, F4, 3, 91) (dual of [(90, 3), 78, 92]-NRT-code) | [i] | ||