Information on Result #893865
Linear OOA(3240, 4783018, F3, 2, 18) (dual of [(4783018, 2), 9565796, 19]-NRT-code), using trace code based on linear OOA(9120, 2391509, F9, 2, 18) (dual of [(2391509, 2), 4782898, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9120, 4783018, F9, 18) (dual of [4783018, 4782898, 19]-code), using
- construction X applied to Ce(18) ⊂ Ce(11) [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(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(97, 49, F9, 5) (dual of [49, 42, 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(11) [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, 4783019, F3, 2, 18) (dual of [(4783019, 2), 9565796, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3244, 4783020, F3, 2, 18) (dual of [(4783020, 2), 9565796, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(3246, 4783021, F3, 2, 18) (dual of [(4783021, 2), 9565796, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(3241, 4783018, F3, 2, 18) (dual of [(4783018, 2), 9565795, 19]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3240, 2391509, F3, 4, 18) (dual of [(2391509, 4), 9565796, 19]-NRT-code) | [i] | OOA Folding | |