Information on Result #1305698
Linear OA(3249, 2348, F3, 51) (dual of [2348, 2099, 52]-code), using 144 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 1, 0, 0, 0, 1, 6 times 0, 1, 10 times 0, 1, 17 times 0, 1, 25 times 0, 1, 33 times 0, 1, 40 times 0) based on linear OA(3239, 2194, F3, 51) (dual of [2194, 1955, 52]-code), using
- 1 times truncation [i] based on linear OA(3240, 2195, F3, 52) (dual of [2195, 1955, 53]-code), using
- construction X applied to Ce(51) ⊂ Ce(49) [i] based on
- linear OA(3239, 2187, F3, 52) (dual of [2187, 1948, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3232, 2187, F3, 50) (dual of [2187, 1955, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 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(51) ⊂ Ce(49) [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(3249, 1174, F3, 2, 51) (dual of [(1174, 2), 2099, 52]-NRT-code) | [i] | OOA Folding | |