Information on Result #686089
Linear OA(720, 56, F7, 11) (dual of [56, 36, 12]-code), using construction X applied to Ce(10) ⊂ Ce(7) based on
- linear OA(718, 49, F7, 11) (dual of [49, 31, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(713, 49, F7, 8) (dual of [49, 36, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
- Reed–Solomon code RS(5,7) [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(720, 28, F7, 2, 11) (dual of [(28, 2), 36, 12]-NRT-code) | [i] | OOA Folding | |