Information on Result #682645
Linear OA(574, 15632, F5, 16) (dual of [15632, 15558, 17]-code), using construction X applied to Ce(15) ⊂ Ce(13) based on
- linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(567, 15625, F5, 14) (dual of [15625, 15558, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(573, 15631, F5, 15) (dual of [15631, 15558, 16]-code) | [i] | Truncation | |
| 2 | Linear OOA(574, 7816, F5, 2, 16) (dual of [(7816, 2), 15558, 17]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(574, 5210, F5, 3, 16) (dual of [(5210, 3), 15556, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(574, 1954, F5, 16, 16) (dual of [(1954, 16), 31190, 17]-NRT-code) | [i] | OA Folding and Stacking | |