Information on Result #1527760
Linear OOA(3196, 5137, F3, 3, 34) (dual of [(5137, 3), 15215, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3196, 5137, F3, 34) (dual of [5137, 4941, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3196, 6620, F3, 34) (dual of [6620, 6424, 35]-code), using
- 3 times code embedding in larger space [i] based on linear OA(3193, 6617, F3, 34) (dual of [6617, 6424, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(316, 56, F3, 7) (dual of [56, 40, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(3193, 6617, F3, 34) (dual of [6617, 6424, 35]-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(3196, 2568, F3, 5, 34) (dual of [(2568, 5), 12644, 35]-NRT-code) | [i] | OOA Folding | |