Information on Result #689093
Linear OA(9149, 4783040, F9, 22) (dual of [4783040, 4782891, 23]-code), using construction X applied to Ce(21) ⊂ Ce(12) based on
- linear OA(9134, 4782969, F9, 22) (dual of [4782969, 4782835, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(915, 71, F9, 8) (dual of [71, 56, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(915, 80, F9, 8) (dual of [80, 65, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(915, 80, F9, 8) (dual of [80, 65, 9]-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(9149, 2391520, F9, 2, 22) (dual of [(2391520, 2), 4782891, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9149, 1594346, F9, 3, 22) (dual of [(1594346, 3), 4782889, 23]-NRT-code) | [i] | ||