Information on Result #733641
Linear OA(2719, 531473, F27, 5) (dual of [531473, 531454, 6]-code), using (u, u+v)-construction based on
- linear OA(272, 28, F27, 2) (dual of [28, 26, 3]-code or 28-arc in PG(1,27)), using
- extended Reed–Solomon code RSe(26,27) [i]
- Hamming code H(2,27) [i]
- linear OA(2717, 531445, F27, 5) (dual of [531445, 531428, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(2717, 531441, F27, 5) (dual of [531441, 531424, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(2713, 531441, F27, 4) (dual of [531441, 531428, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
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, 265736, F27, 2, 5) (dual of [(265736, 2), 531453, 6]-NRT-code) | [i] | OOA Folding | |