Information on Result #737587
Linear OA(582, 15664, F5, 15) (dual of [15664, 15582, 16]-code), using construction X applied to Ce(15) ⊂ Ce(8) 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(543, 15625, F5, 9) (dual of [15625, 15582, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(59, 39, F5, 5) (dual of [39, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(59, 44, F5, 5) (dual of [44, 35, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(582, 7832, F5, 2, 15) (dual of [(7832, 2), 15582, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(582, 5221, F5, 3, 15) (dual of [(5221, 3), 15581, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(582, 2237, F5, 15, 15) (dual of [(2237, 15), 33473, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |