Information on Result #893871
Linear OOA(3248, 4783028, F3, 2, 18) (dual of [(4783028, 2), 9565808, 19]-NRT-code), using trace code based on linear OOA(9124, 2391514, F9, 2, 18) (dual of [(2391514, 2), 4782904, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9124, 4783028, F9, 18) (dual of [4783028, 4782904, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(9124, 4783029, F9, 18) (dual of [4783029, 4782905, 19]-code), using
- construction X applied to Ce(18) ⊂ Ce(10) [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(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(911, 60, F9, 6) (dual of [60, 49, 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
- construction X applied to Ce(18) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(9124, 4783029, F9, 18) (dual of [4783029, 4782905, 19]-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(3248, 2391514, F3, 4, 18) (dual of [(2391514, 4), 9565808, 19]-NRT-code) | [i] | OOA Folding | |