Information on Result #722211
Linear OA(16118, 286, F16, 62) (dual of [286, 168, 63]-code), using construction XX applied to C1 = C([247,50]), C2 = C([0,53]), C3 = C1 + C2 = C([0,50]), and C∩ = C1 ∩ C2 = C([247,53]) based on
- linear OA(16103, 255, F16, 59) (dual of [255, 152, 60]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−8,−7,…,50}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(1692, 255, F16, 54) (dual of [255, 163, 55]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,53], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(16108, 255, F16, 62) (dual of [255, 147, 63]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−8,−7,…,53}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(1687, 255, F16, 51) (dual of [255, 168, 52]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(168, 24, F16, 7) (dual of [24, 16, 8]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OA(162, 7, F16, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), 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(16118, 143, F16, 2, 62) (dual of [(143, 2), 168, 63]-NRT-code) | [i] | OOA Folding | |