Information on Result #1298029
Linear OA(378, 98, F3, 37) (dual of [98, 20, 38]-code), using construction X with Varšamov bound based on
- linear OA(363, 79, F3, 38) (dual of [79, 16, 39]-code), using
- 3 times truncation [i] based on linear OA(366, 82, F3, 41) (dual of [82, 16, 42]-code), using
- linear OA(363, 83, F3, 28) (dual of [83, 20, 29]-code), using Gilbert–Varšamov bound and bm = 363 > Vbs−1(k−1) = 604970 133182 651399 313432 278601 [i]
- linear OA(311, 15, F3, 8) (dual of [15, 4, 9]-code), using
- construction X applied to C([0,6]) ⊂ C([1,6]) [i] based on
- linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
- linear OA(39, 13, F3, 6) (dual of [13, 4, 7]-code), using the narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 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 C([0,6]) ⊂ C([1,6]) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.