Information on Result #689194
Linear OA(988, 531462, F9, 16) (dual of [531462, 531374, 17]-code), using construction X applied to Ce(15) ⊂ Ce(12) based on
- linear OA(985, 531441, F9, 16) (dual of [531441, 531356, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(967, 531441, F9, 13) (dual of [531441, 531374, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(93, 21, F9, 2) (dual of [21, 18, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 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(988, 531462, F9, 2, 16) (dual of [(531462, 2), 1062836, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(988, 531462, F9, 3, 16) (dual of [(531462, 3), 1594298, 17]-NRT-code) | [i] | ||
| 3 | Digital (72, 88, 531462)-net over F9 | [i] | ||
| 4 | Linear OOA(988, 265731, F9, 2, 16) (dual of [(265731, 2), 531374, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(988, 177154, F9, 3, 16) (dual of [(177154, 3), 531374, 17]-NRT-code) | [i] | ||