Information on Result #684103
Linear OA(540, 134, F5, 16) (dual of [134, 94, 17]-code), using construction X applied to Ce(15) ⊂ Ce(12) based on
- linear OA(537, 125, F5, 16) (dual of [125, 88, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(531, 125, F5, 13) (dual of [125, 94, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(53, 9, F5, 2) (dual of [9, 6, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-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(540, 67, F5, 2, 16) (dual of [(67, 2), 94, 17]-NRT-code) | [i] | OOA Folding | |