Information on Result #2227696
Linear OA(367, 83, F3, 38) (dual of [83, 16, 39]-code), using 5 times truncation based on linear OA(372, 88, F3, 43) (dual of [88, 16, 44]-code), using
- construction XX applied to Ce(43) ⊂ Ce(40) ⊂ Ce(39) [i] based on
- linear OA(370, 81, F3, 44) (dual of [81, 11, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(366, 81, F3, 41) (dual of [81, 15, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(365, 81, F3, 40) (dual of [81, 16, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 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
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
Mode: Constructive and 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.