Information on Result #722357
Linear OA(16114, 265, F16, 64) (dual of [265, 151, 65]-code), using construction XX applied to C1 = C([252,59]), C2 = C([0,60]), C3 = C1 + C2 = C([0,59]), and C∩ = C1 ∩ C2 = C([252,60]) based on
- linear OA(16110, 255, F16, 63) (dual of [255, 145, 64]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,59}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(16106, 255, F16, 61) (dual of [255, 149, 62]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,60], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(16112, 255, F16, 64) (dual of [255, 143, 65]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,60}, and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(16104, 255, F16, 60) (dual of [255, 151, 61]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,59], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(162, 8, F16, 2) (dual of [8, 6, 3]-code or 8-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
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 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(16114, 132, F16, 2, 64) (dual of [(132, 2), 150, 65]-NRT-code) | [i] | OOA Folding | |