Information on Result #682525
Linear OA(5150, 78190, F5, 24) (dual of [78190, 78040, 25]-code), using construction X applied to Ce(23) ⊂ Ce(15) based on
- linear OA(5134, 78125, F5, 24) (dual of [78125, 77991, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(516, 65, F5, 7) (dual of [65, 49, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(516, 124, F5, 7) (dual of [124, 108, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(516, 124, F5, 7) (dual of [124, 108, 8]-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(5150, 39095, F5, 2, 24) (dual of [(39095, 2), 78040, 25]-NRT-code) | [i] | OOA Folding | |