Information on Result #737905
Linear OA(9111, 4783030, F9, 16) (dual of [4783030, 4782919, 17]-code), using construction X applied to Ce(15) ⊂ Ce(7) based on
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(912, 61, F9, 7) (dual of [61, 49, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 67, F9, 7) (dual of [67, 55, 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(9111, 2391515, F9, 2, 16) (dual of [(2391515, 2), 4782919, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9111, 1594343, F9, 3, 16) (dual of [(1594343, 3), 4782918, 17]-NRT-code) | [i] | ||