Information on Result #686060
Linear OA(738, 56, F7, 25) (dual of [56, 18, 26]-code), using construction X applied to Ce(24) ⊂ Ce(19) based on
- linear OA(734, 49, F7, 25) (dual of [49, 15, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(731, 49, F7, 20) (dual of [49, 18, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
- Reed–Solomon code RS(3,7) [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(738, 28, F7, 2, 25) (dual of [(28, 2), 18, 26]-NRT-code) | [i] | OOA Folding | |