Information on Result #893867
Linear OOA(3240, 4782976, F3, 2, 20) (dual of [(4782976, 2), 9565712, 21]-NRT-code), using trace code based on linear OOA(9120, 2391488, F9, 2, 20) (dual of [(2391488, 2), 4782856, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9120, 4782976, F9, 20) (dual of [4782976, 4782856, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] 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(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(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [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(3242, 4782977, F3, 2, 20) (dual of [(4782977, 2), 9565712, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3244, 4782978, F3, 2, 20) (dual of [(4782978, 2), 9565712, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(3241, 4782976, F3, 2, 20) (dual of [(4782976, 2), 9565711, 21]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3240, 2391488, F3, 4, 20) (dual of [(2391488, 4), 9565712, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3240, 956595, F3, 22, 20) (dual of [(956595, 22), 21044850, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |