Information on Result #900392
Linear OOA(2720, 266479, F27, 2, 5) (dual of [(266479, 2), 532938, 6]-NRT-code), using (u, u+v)-construction based on
- linear OOA(273, 757, F27, 2, 2) (dual of [(757, 2), 1511, 3]-NRT-code), using
- appending kth column [i] based on linear OA(273, 757, F27, 2) (dual of [757, 754, 3]-code), using
- Hamming code H(3,27) [i]
- appending kth column [i] based on linear OA(273, 757, F27, 2) (dual of [757, 754, 3]-code), using
- linear OOA(2717, 265722, F27, 2, 5) (dual of [(265722, 2), 531427, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2717, 531444, F27, 5) (dual of [531444, 531427, 6]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(2717, 531445, F27, 5) (dual of [531445, 531428, 6]-code), using
- OOA 2-folding [i] based on linear OA(2717, 531444, F27, 5) (dual of [531444, 531427, 6]-code), 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(2766, 4460780, F27, 2, 10) (dual of [(4460780, 2), 8921494, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2771, 4460780, F27, 2, 11) (dual of [(4460780, 2), 8921489, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(2720, 266478, F27, 6, 5) (dual of [(266478, 6), 1598848, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |