Information on Result #690119
Linear OA(9115, 732, F9, 43) (dual of [732, 617, 44]-code), using construction X applied to Ce(42) ⊂ Ce(41) 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(9112, 729, F9, 42) (dual of [729, 617, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(9115, 244, F9, 3, 43) (dual of [(244, 3), 617, 44]-NRT-code) | [i] | OOA Folding | |