Information on Result #1298757
Linear OA(3164, 186, F3, 83) (dual of [186, 22, 84]-code), using construction X with Varšamov bound based on
- linear OA(3156, 176, F3, 84) (dual of [176, 20, 85]-code), using
- 8 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
- 8 times truncation [i] based on linear OA(3164, 184, F3, 92) (dual of [184, 20, 93]-code), using
- linear OA(3156, 178, F3, 77) (dual of [178, 22, 78]-code), using Gilbert–Varšamov bound and bm = 3156 > Vbs−1(k−1) = 235 547157 961690 434344 902787 951445 588845 336452 523650 225117 944620 609936 854851 [i]
- linear OA(36, 8, F3, 5) (dual of [8, 2, 6]-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.