Information on Result #706304
Linear OA(479, 285, F4, 25) (dual of [285, 206, 26]-code), using construction XX applied to C1 = C([251,16]), C2 = C([0,20]), C3 = C1 + C2 = C([0,16]), and C∩ = C1 ∩ C2 = C([251,20]) based on
- linear OA(461, 255, F4, 21) (dual of [255, 194, 22]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,16}, and designed minimum distance d ≥ |I|+1 = 22 [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(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(449, 255, F4, 17) (dual of [255, 206, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), using
- linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), using
- discarding factors / shortening the dual code based on linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)) (see above)
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(480, 286, F4, 25) (dual of [286, 206, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(479, 142, F4, 2, 25) (dual of [(142, 2), 205, 26]-NRT-code) | [i] | OOA Folding | |