Information on Result #893769
Linear OOA(3116, 4782976, F3, 2, 10) (dual of [(4782976, 2), 9565836, 11]-NRT-code), using trace code based on linear OOA(958, 2391488, F9, 2, 10) (dual of [(2391488, 2), 4782918, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(958, 4782976, F9, 10) (dual of [4782976, 4782918, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(958, 4782977, F9, 10) (dual of [4782977, 4782919, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(9) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(958, 4782977, F9, 10) (dual of [4782977, 4782919, 11]-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(3117, 4782976, F3, 2, 10) (dual of [(4782976, 2), 9565835, 11]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3116, 2391488, F3, 4, 10) (dual of [(2391488, 4), 9565836, 11]-NRT-code) | [i] | OOA Folding | |