Information on Result #1298466
Linear OA(3136, 157, F3, 67) (dual of [157, 21, 68]-code), using construction X with Varšamov bound based on
- linear OA(3117, 133, F3, 67) (dual of [133, 16, 68]-code), using
- construction X applied to Ce(66) ⊂ Ce(60) [i] based on
- linear OA(3111, 122, F3, 67) (dual of [122, 11, 68]-code), using an extension Ce(66) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,66], and designed minimum distance d ≥ |I|+1 = 67 [i]
- linear OA(3106, 122, F3, 61) (dual of [122, 16, 62]-code), using an extension Ce(60) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(36, 11, F3, 5) (dual of [11, 5, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- construction X applied to Ce(66) ⊂ Ce(60) [i] based on
- linear OA(3117, 138, F3, 56) (dual of [138, 21, 57]-code), using Gilbert–Varšamov bound and bm = 3117 > Vbs−1(k−1) = 44 442836 593550 033604 182977 908736 852366 343532 561953 094371 [i]
- linear OA(314, 19, F3, 10) (dual of [19, 5, 11]-code), using
- 1 times truncation [i] based on linear OA(315, 20, F3, 11) (dual of [20, 5, 12]-code), using
- residual code [i] based on linear OA(350, 56, F3, 35) (dual of [56, 6, 36]-code), using
- 1 times truncation [i] based on linear OA(315, 20, F3, 11) (dual of [20, 5, 12]-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.