Information on Result #893866
Linear OOA(3240, 4783010, F3, 2, 19) (dual of [(4783010, 2), 9565780, 20]-NRT-code), using trace code based on linear OOA(9120, 2391505, F9, 2, 19) (dual of [(2391505, 2), 4782890, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9120, 4783010, F9, 19) (dual of [4783010, 4782890, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(9120, 4783011, F9, 19) (dual of [4783011, 4782891, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(12) [i] 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(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(97, 42, F9, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to Ce(18) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(9120, 4783011, F9, 19) (dual of [4783011, 4782891, 20]-code), using
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(3241, 4783010, F3, 2, 19) (dual of [(4783010, 2), 9565779, 20]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3240, 2391505, F3, 4, 19) (dual of [(2391505, 4), 9565780, 20]-NRT-code) | [i] | OOA Folding | |