Information on Result #1520804
Linear OOA(364, 1316, F3, 3, 13) (dual of [(1316, 3), 3884, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(364, 1316, F3, 13) (dual of [1316, 1252, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(364, 2214, F3, 13) (dual of [2214, 2150, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(336, 2187, F3, 8) (dual of [2187, 2151, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
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(364, 658, F3, 5, 13) (dual of [(658, 5), 3226, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(364, 657, F3, 15, 13) (dual of [(657, 15), 9791, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |