Information on Result #2301083
Linear OA(3213, 249, F3, 102) (dual of [249, 36, 103]-code), using 1 times truncation based on linear OA(3214, 250, F3, 103) (dual of [250, 36, 104]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(3195, 227, F3, 105) (dual of [227, 32, 106]-code), using
- 17 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- construction X applied to Ce(121) ⊂ Ce(120) [i] based on
- linear OA(3212, 243, F3, 122) (dual of [243, 31, 123]-code), using an extension Ce(121) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,121], and designed minimum distance d ≥ |I|+1 = 122 [i]
- linear OA(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using an extension Ce(120) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [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(121) ⊂ Ce(120) [i] based on
- 17 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3195, 231, F3, 91) (dual of [231, 36, 92]-code), using Gilbert–Varšamov bound and bm = 3195 > Vbs−1(k−1) = 702 609128 344788 277440 784404 135977 621357 585570 040350 217193 352489 164880 641136 157674 844204 112985 [i]
- linear OA(315, 19, F3, 11) (dual of [19, 4, 12]-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code based on linear OA(315, 20, F3, 11) (dual of [20, 5, 12]-code), using
- linear OA(3195, 227, F3, 105) (dual of [227, 32, 106]-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.
Other Results with Identical Parameters
None.
Depending Results
None.