Information on Result #689079
Linear OA(9131, 4783022, F9, 20) (dual of [4783022, 4782891, 21]-code), using construction X applied to Ce(19) ⊂ Ce(12) based on
- linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(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 OOA(9131, 2391511, F9, 2, 20) (dual of [(2391511, 2), 4782891, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9131, 1594340, F9, 3, 20) (dual of [(1594340, 3), 4782889, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(9131, 478302, F9, 20, 20) (dual of [(478302, 20), 9565909, 21]-NRT-code) | [i] | OA Folding and Stacking | |