Information on Result #695689
Linear OA(2719, 737, F27, 9) (dual of [737, 718, 10]-code), using construction X applied to Ce(8) ⊂ Ce(5) based on
- linear OA(2717, 729, F27, 9) (dual of [729, 712, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(2711, 729, F27, 6) (dual of [729, 718, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(272, 8, F27, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), 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(2719, 620, F27, 2, 9) (dual of [(620, 2), 1221, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (10, 19, 620)-net over F27 | [i] | ||
| 3 | Linear OOA(2719, 184, F27, 9, 9) (dual of [(184, 9), 1637, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |