Information on Result #706350
Linear OA(484, 280, F4, 27) (dual of [280, 196, 28]-code), using construction XX applied to C1 = C([251,20]), C2 = C([0,22]), C3 = C1 + C2 = C([0,20]), and C∩ = C1 ∩ C2 = C([251,22]) 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 = {−4,−3,…,20}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(467, 255, F4, 23) (dual of [255, 188, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(479, 255, F4, 27) (dual of [255, 176, 28]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,22}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(459, 255, F4, 21) (dual of [255, 196, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), using
- 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
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(485, 281, F4, 27) (dual of [281, 196, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(484, 140, F4, 2, 27) (dual of [(140, 2), 196, 28]-NRT-code) | [i] | OOA Folding | |