Information on Result #686106
Linear OA(731, 64, F7, 16) (dual of [64, 33, 17]-code), using construction X applied to Ce(15) ⊂ Ce(9) based on
- linear OA(724, 49, F7, 16) (dual of [49, 25, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(716, 49, F7, 10) (dual of [49, 33, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(77, 15, F7, 5) (dual of [15, 8, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 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.
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(731, 32, F7, 2, 16) (dual of [(32, 2), 33, 17]-NRT-code) | [i] | OOA Folding | |