Information on Result #686122
Linear OA(744, 69, F7, 25) (dual of [69, 25, 26]-code), using construction X applied to Ce(24) ⊂ Ce(15) 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(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(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 OA(744, 69, F7, 24) (dual of [69, 25, 25]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(745, 70, F7, 25) (dual of [70, 25, 26]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(743, 68, F7, 24) (dual of [68, 25, 25]-code) | [i] | Truncation | |
| 4 | Linear OOA(744, 34, F7, 2, 25) (dual of [(34, 2), 24, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(744, 23, F7, 3, 25) (dual of [(23, 3), 25, 26]-NRT-code) | [i] | ||