Information on Result #1521811
Linear OOA(398, 254684, F3, 3, 12) (dual of [(254684, 3), 763954, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(398, 254684, F3, 2, 12) (dual of [(254684, 2), 509270, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(398, 265733, F3, 2, 12) (dual of [(265733, 2), 531368, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(398, 531466, F3, 12) (dual of [531466, 531368, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(397, 531441, F3, 13) (dual of [531441, 531344, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(373, 531441, F3, 10) (dual of [531441, 531368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(31, 25, F3, 1) (dual of [25, 24, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- OOA 2-folding [i] based on linear OA(398, 531466, F3, 12) (dual of [531466, 531368, 13]-code), using
Mode: 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(398, 127342, F3, 5, 12) (dual of [(127342, 5), 636612, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(398, 127341, F3, 15, 12) (dual of [(127341, 15), 1910017, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |