Information on Result #690572
Linear OA(9149, 802, F9, 46) (dual of [802, 653, 47]-code), using construction X applied to Ce(45) ⊂ Ce(28) based on
- linear OA(9121, 729, F9, 46) (dual of [729, 608, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(976, 729, F9, 29) (dual of [729, 653, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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 OA(9148, 801, F9, 45) (dual of [801, 653, 46]-code) | [i] | Truncation | |
| 2 | Linear OOA(9149, 401, F9, 2, 46) (dual of [(401, 2), 653, 47]-NRT-code) | [i] | OOA Folding | |