Information on Result #1476258
Linear OOA(3119, 277, F3, 3, 30) (dual of [(277, 3), 712, 31]-NRT-code), using OOA 2-folding based on linear OOA(3119, 554, F3, 2, 30) (dual of [(554, 2), 989, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3119, 555, F3, 2, 30) (dual of [(555, 2), 991, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3119, 555, F3, 30) (dual of [555, 436, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3119, 739, F3, 30) (dual of [739, 620, 31]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- linear OA(3118, 729, F3, 31) (dual of [729, 611, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3109, 729, F3, 28) (dual of [729, 620, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(31, 10, F3, 1) (dual of [10, 9, 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(30) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(3119, 739, F3, 30) (dual of [739, 620, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3119, 555, F3, 30) (dual of [555, 436, 31]-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
None.