Information on Result #737768
Linear OA(739, 64, F7, 22) (dual of [64, 25, 23]-code), using construction X applied to Ce(23) ⊂ Ce(15) based on
- linear OA(733, 49, F7, 24) (dual of [49, 16, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- 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(76, 15, F7, 5) (dual of [15, 9, 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 OA(739, 64, F7, 21) (dual of [64, 25, 22]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(739, 32, F7, 2, 22) (dual of [(32, 2), 25, 23]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(739, 21, F7, 3, 22) (dual of [(21, 3), 24, 23]-NRT-code) | [i] | ||