Information on Result #1521847
Linear OOA(399, 265734, F3, 3, 12) (dual of [(265734, 3), 797103, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(399, 265734, F3, 2, 12) (dual of [(265734, 2), 531369, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(399, 531468, F3, 12) (dual of [531468, 531369, 13]-code), using
- 1 times code embedding in larger space [i] based on linear OA(398, 531467, F3, 12) (dual of [531467, 531369, 13]-code), using
- construction X4 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(325, 26, F3, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,3)), using
- dual of repetition code with length 26 [i]
- linear OA(31, 26, F3, 1) (dual of [26, 25, 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 X4 applied to Ce(12) ⊂ Ce(9) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(398, 531467, F3, 12) (dual of [531467, 531369, 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(3100, 265734, F3, 3, 12) (dual of [(265734, 3), 797102, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(399, 132867, F3, 5, 12) (dual of [(132867, 5), 664236, 13]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(399, 132866, F3, 15, 12) (dual of [(132866, 15), 1992891, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |