Information on Result #893849
Linear OOA(3226, 4782976, F3, 2, 18) (dual of [(4782976, 2), 9565726, 19]-NRT-code), using trace code based on linear OOA(9113, 2391488, F9, 2, 18) (dual of [(2391488, 2), 4782863, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9113, 4782976, F9, 18) (dual of [4782976, 4782863, 19]-code), using
- 1 times truncation [i] based on linear OA(9114, 4782977, F9, 19) (dual of [4782977, 4782863, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [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(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(91, 8, F9, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- 1 times truncation [i] based on linear OA(9114, 4782977, F9, 19) (dual of [4782977, 4782863, 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(3227, 4782976, F3, 2, 18) (dual of [(4782976, 2), 9565725, 19]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3226, 2391488, F3, 4, 18) (dual of [(2391488, 4), 9565726, 19]-NRT-code) | [i] | OOA Folding | |