Information on Result #1299305
Linear OA(3235, 272, F3, 114) (dual of [272, 37, 115]-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(325, 30, F3, 17) (dual of [30, 5, 18]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(36, 10, F3, 5) (dual of [10, 4, 6]-code), using
- linear OA(39, 10, F3, 8) (dual of [10, 1, 9]-code), using
- strength reduction [i] based on linear OA(39, 10, F3, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,3)), using
- dual of repetition code with length 10 [i]
- strength reduction [i] based on linear OA(39, 10, F3, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,3)), using
- linear OA(310, 10, F3, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,3)), using
- (u, u−v, u+v+w)-construction [i] based on
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.