Information on Result #1015876
Linear OOA(929, 19694, F9, 3, 6) (dual of [(19694, 3), 59053, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(93, 10, F9, 3, 3) (dual of [(10, 3), 27, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;27,9) [i]
- linear OOA(926, 19684, F9, 3, 6) (dual of [(19684, 3), 59026, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(926, 59052, F9, 6) (dual of [59052, 59026, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(926, 59054, F9, 6) (dual of [59054, 59028, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(926, 59049, F9, 6) (dual of [59049, 59023, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(921, 59049, F9, 5) (dual of [59049, 59028, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 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(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(926, 59054, F9, 6) (dual of [59054, 59028, 7]-code), using
- OOA 3-folding [i] based on linear OA(926, 59052, F9, 6) (dual of [59052, 59026, 7]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(9119, 5612096, F9, 3, 12) (dual of [(5612096, 3), 16836169, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(9127, 5612096, F9, 3, 13) (dual of [(5612096, 3), 16836161, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(929, 19693, F9, 9, 6) (dual of [(19693, 9), 177208, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |