Information on Result #722376
Linear OA(16126, 276, F16, 71) (dual of [276, 150, 72]-code), using construction XX applied to C1 = C([254,67]), C2 = C([8,69]), C3 = C1 + C2 = C([8,67]), and C∩ = C1 ∩ C2 = C([254,69]) based on
- linear OA(16114, 255, F16, 69) (dual of [255, 141, 70]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,67}, and designed minimum distance d ≥ |I|+1 = 70 [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 = {8,9,…,69}, and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(16117, 255, F16, 71) (dual of [255, 138, 72]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,69}, and designed minimum distance d ≥ |I|+1 = 72 [i]
- linear OA(16105, 255, F16, 60) (dual of [255, 150, 61]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {8,9,…,67}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(168, 17, F16, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,16)), using
- extended Reed–Solomon code RSe(9,16) [i]
- linear OA(161, 4, F16, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using
- Reed–Solomon code RS(15,16) [i]
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), 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(16126, 138, F16, 2, 71) (dual of [(138, 2), 150, 72]-NRT-code) | [i] | OOA Folding | |