Information on Result #1526605
Linear OOA(3183, 26780, F3, 3, 26) (dual of [(26780, 3), 80157, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3183, 26780, F3, 2, 26) (dual of [(26780, 2), 53377, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3183, 29550, F3, 2, 26) (dual of [(29550, 2), 58917, 27]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3182, 29550, F3, 2, 26) (dual of [(29550, 2), 58918, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3182, 59100, F3, 26) (dual of [59100, 58918, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(3171, 59049, F3, 26) (dual of [59049, 58878, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3131, 59049, F3, 20) (dual of [59049, 58918, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(311, 51, F3, 5) (dual of [51, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(3182, 59100, F3, 26) (dual of [59100, 58918, 27]-code), using
- 31 times duplication [i] based on linear OOA(3182, 29550, F3, 2, 26) (dual of [(29550, 2), 58918, 27]-NRT-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(3183, 13390, F3, 5, 26) (dual of [(13390, 5), 66767, 27]-NRT-code) | [i] | OOA Folding | |