Information on Result #690575
Linear OA(9143, 802, F9, 43) (dual of [802, 659, 44]-code), using construction X applied to Ce(42) ⊂ Ce(25) based on
- linear OA(9115, 729, F9, 43) (dual of [729, 614, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(970, 729, F9, 26) (dual of [729, 659, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(928, 73, F9, 16) (dual of [73, 45, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(928, 80, F9, 16) (dual of [80, 52, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(928, 80, F9, 16) (dual of [80, 52, 17]-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(9143, 401, F9, 2, 43) (dual of [(401, 2), 659, 44]-NRT-code) | [i] | OOA Folding | |