Information on Result #689049
Linear OA(953, 4782993, F9, 8) (dual of [4782993, 4782940, 9]-code), using construction X applied to Ce(7) ⊂ Ce(4) based on
- 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(929, 4782969, F9, 5) (dual of [4782969, 4782940, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(93, 24, F9, 2) (dual of [24, 21, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-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(953, 2391496, F9, 2, 8) (dual of [(2391496, 2), 4782939, 9]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(953, 1594331, F9, 3, 8) (dual of [(1594331, 3), 4782940, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(953, 1195748, F9, 8, 8) (dual of [(1195748, 8), 9565931, 9]-NRT-code) | [i] | OA Folding and Stacking | |