Information on Result #691135
Linear OA(929, 86, F9, 16) (dual of [86, 57, 17]-code), using construction X applied to Ce(15) ⊂ Ce(13) based on
- linear OA(928, 81, F9, 16) (dual of [81, 53, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(924, 81, F9, 14) (dual of [81, 57, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(91, 5, F9, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(929, 43, F9, 2, 16) (dual of [(43, 2), 57, 17]-NRT-code) | [i] | OOA Folding |