Information on Result #692136
Linear OA(1618, 4107, F16, 6) (dual of [4107, 4089, 7]-code), using construction X applied to Ce(5) ⊂ Ce(2) based on
- linear OA(1616, 4096, F16, 6) (dual of [4096, 4080, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(167, 4096, F16, 3) (dual of [4096, 4089, 4]-code or 4096-cap in PG(6,16)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(162, 11, F16, 2) (dual of [11, 9, 3]-code or 11-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(1618, 2053, F16, 2, 6) (dual of [(2053, 2), 4088, 7]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(1618, 1369, F16, 6, 6) (dual of [(1369, 6), 8196, 7]-NRT-code) | [i] | OA Folding and Stacking | |