Information on Result #686119
Linear OA(748, 69, F7, 27) (dual of [69, 21, 28]-code), using construction X applied to Ce(26) ⊂ Ce(17) based on
- linear OA(738, 49, F7, 27) (dual of [49, 11, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(727, 49, F7, 18) (dual of [49, 22, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(710, 20, F7, 8) (dual of [20, 10, 9]-code), using
- extended quadratic residue code Qe(20,7) [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(748, 23, F7, 3, 27) (dual of [(23, 3), 21, 28]-NRT-code) | [i] | OOA Folding | |