Information on Result #1298718
Linear OA(3157, 179, F3, 78) (dual of [179, 22, 79]-code), using construction X with Varšamov bound based on
- linear OA(3150, 170, F3, 78) (dual of [170, 20, 79]-code), using
- 14 times truncation [i] based on linear OA(3164, 184, F3, 92) (dual of [184, 20, 93]-code), using
- construction X applied to Ce(91) ⊂ Ce(90) [i] based on
- linear OA(3164, 183, F3, 92) (dual of [183, 19, 93]-code), using an extension Ce(91) of the narrow-sense BCH-code C(I) with length 182 | 36−1, defining interval I = [1,91], and designed minimum distance d ≥ |I|+1 = 92 [i]
- linear OA(3163, 183, F3, 91) (dual of [183, 20, 92]-code), using an extension Ce(90) of the narrow-sense BCH-code C(I) with length 182 | 36−1, defining interval I = [1,90], and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(91) ⊂ Ce(90) [i] based on
- 14 times truncation [i] based on linear OA(3164, 184, F3, 92) (dual of [184, 20, 93]-code), using
- linear OA(3150, 172, F3, 73) (dual of [172, 22, 74]-code), using Gilbert–Varšamov bound and bm = 3150 > Vbs−1(k−1) = 159101 451781 768872 179005 113740 685519 612123 158874 750822 307801 114139 433339 [i]
- linear OA(35, 7, F3, 4) (dual of [7, 2, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [i]
- discarding factors / shortening the dual code based on linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.