Information on Result #692785
Linear OA(16124, 270, F16, 71) (dual of [270, 146, 72]-code), using construction X applied to Ce(70) ⊂ Ce(62) based on
- linear OA(16117, 256, F16, 71) (dual of [256, 139, 72]-code), using an extension Ce(70) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,70], and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(16110, 256, F16, 63) (dual of [256, 146, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(167, 14, F16, 7) (dual of [14, 7, 8]-code or 14-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), 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(16124, 135, F16, 2, 71) (dual of [(135, 2), 146, 72]-NRT-code) | [i] | OOA Folding | |