Information on Result #865013
Linear OOA(2729, 265722, F27, 2, 8) (dual of [(265722, 2), 531415, 9]-NRT-code), using OOA 2-folding based on linear OA(2729, 531444, F27, 8) (dual of [531444, 531415, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2729, 531445, F27, 8) (dual of [531445, 531416, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(2729, 531441, F27, 8) (dual of [531441, 531412, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2725, 531441, F27, 7) (dual of [531441, 531416, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [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(2733, 265750, F27, 2, 8) (dual of [(265750, 2), 531467, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2734, 265760, F27, 2, 8) (dual of [(265760, 2), 531486, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(27105, 4460023, F27, 2, 16) (dual of [(4460023, 2), 8919941, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(27110, 4460023, F27, 2, 17) (dual of [(4460023, 2), 8919936, 18]-NRT-code) | [i] | ||