Information on Result #682434
Linear OA(592, 78132, F5, 17) (dual of [78132, 78040, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
- linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(50, 7, F5, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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(593, 78133, F5, 17) (dual of [78133, 78040, 18]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(592, 39066, F5, 2, 17) (dual of [(39066, 2), 78040, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(592, 26044, F5, 3, 17) (dual of [(26044, 3), 78040, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(592, 9766, F5, 17, 17) (dual of [(9766, 17), 165930, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |