Information on Result #1299304
Linear OA(3238, 275, F3, 115) (dual of [275, 37, 116]-code), using construction X with Varšamov bound based on
- linear OA(3205, 237, F3, 115) (dual of [237, 32, 116]-code), using
- 7 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
- 7 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3205, 242, F3, 96) (dual of [242, 37, 97]-code), using Gilbert–Varšamov bound and bm = 3205 > Vbs−1(k−1) = 47 091464 803776 446322 021766 049512 708302 405404 395915 704689 313155 284993 333028 589626 405498 692564 878915 [i]
- linear OA(328, 33, F3, 18) (dual of [33, 5, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(328, 35, F3, 18) (dual of [35, 7, 19]-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.