Information on Result #1411201
Linear OOA(3148, 1503, F3, 2, 31) (dual of [(1503, 2), 2858, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3148, 1503, F3, 31) (dual of [1503, 1355, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3148, 2214, F3, 31) (dual of [2214, 2066, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- linear OA(3141, 2187, F3, 31) (dual of [2187, 2046, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3120, 2187, F3, 26) (dual of [2187, 2067, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(30) ⊂ Ce(25) [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(3148, 751, F3, 3, 31) (dual of [(751, 3), 2105, 32]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3148, 751, F3, 4, 31) (dual of [(751, 4), 2856, 32]-NRT-code) | [i] | ||