Information on Result #684431
Linear OA(529, 38, F5, 19) (dual of [38, 9, 20]-code), using construction XX applied to Ce(18) ⊂ Ce(12) ⊂ Ce(11) based on
- linear OA(522, 25, F5, 19) (dual of [25, 3, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(517, 25, F5, 13) (dual of [25, 8, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(516, 25, F5, 12) (dual of [25, 9, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(529, 19, F5, 2, 19) (dual of [(19, 2), 9, 20]-NRT-code) | [i] | OOA Folding | |