Information on Result #893772
Linear OOA(3120, 4782986, F3, 2, 10) (dual of [(4782986, 2), 9565852, 11]-NRT-code), using trace code based on linear OOA(960, 2391493, F9, 2, 10) (dual of [(2391493, 2), 4782926, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(960, 4782986, F9, 10) (dual of [4782986, 4782926, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(943, 4782969, F9, 7) (dual of [4782969, 4782926, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(93, 17, F9, 2) (dual of [17, 14, 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
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3121, 4782986, F3, 2, 10) (dual of [(4782986, 2), 9565851, 11]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3120, 2391493, F3, 4, 10) (dual of [(2391493, 4), 9565852, 11]-NRT-code) | [i] | OOA Folding | |