Information on Result #689080
Linear OA(9124, 4783022, F9, 19) (dual of [4783022, 4782898, 20]-code), using construction X applied to Ce(18) ⊂ Ce(11) based on
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(911, 53, F9, 6) (dual of [53, 42, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(911, 80, F9, 6) (dual of [80, 69, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(911, 80, F9, 6) (dual of [80, 69, 7]-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(9123, 4783021, F9, 18) (dual of [4783021, 4782898, 19]-code) | [i] | Truncation | |
| 2 | Linear OOA(9124, 2391511, F9, 2, 19) (dual of [(2391511, 2), 4782898, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9124, 1594340, F9, 3, 19) (dual of [(1594340, 3), 4782896, 20]-NRT-code) | [i] | ||