Information on Result #1648217
Linear OOA(3201, 44290, F3, 5, 28) (dual of [(44290, 5), 221249, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3201, 44290, F3, 4, 28) (dual of [(44290, 4), 176959, 29]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3201, 177160, F3, 28) (dual of [177160, 176959, 29]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3200, 177159, F3, 28) (dual of [177159, 176959, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(3199, 177147, F3, 28) (dual of [177147, 176948, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(31, 12, F3, 1) (dual of [12, 11, 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(27) ⊂ Ce(25) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3200, 177159, F3, 28) (dual of [177159, 176959, 29]-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(3202, 44290, F3, 5, 28) (dual of [(44290, 5), 221248, 29]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3201, 14763, F3, 35, 28) (dual of [(14763, 35), 516504, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |