Information on Result #707155
Linear OA(4205, 276, F4, 96) (dual of [276, 71, 97]-code), using construction XX applied to C1 = C([251,89]), C2 = C([0,93]), C3 = C1 + C2 = C([0,89]), and C∩ = C1 ∩ C2 = C([251,93]) based on
- linear OA(4192, 255, F4, 94) (dual of [255, 63, 95]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,89}, and designed minimum distance d ≥ |I|+1 = 95 [i]
- linear OA(4192, 255, F4, 94) (dual of [255, 63, 95]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,93], and designed minimum distance d ≥ |I|+1 = 95 [i]
- linear OA(4200, 255, F4, 98) (dual of [255, 55, 99]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,93}, and designed minimum distance d ≥ |I|+1 = 99 [i]
- linear OA(4184, 255, F4, 90) (dual of [255, 71, 91]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,89], and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(41, 9, F4, 1) (dual of [9, 8, 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
- linear OA(44, 12, F4, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,4)), 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(4205, 138, F4, 2, 96) (dual of [(138, 2), 71, 97]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4205, 92, F4, 3, 96) (dual of [(92, 3), 71, 97]-NRT-code) | [i] | ||