Information on Result #1299199
Linear OA(3227, 264, F3, 109) (dual of [264, 37, 110]-code), using construction X with Varšamov bound based on
- linear OA(3199, 231, F3, 109) (dual of [231, 32, 110]-code), using
- 13 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
- 13 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3199, 236, F3, 93) (dual of [236, 37, 94]-code), using Gilbert–Varšamov bound and bm = 3199 > Vbs−1(k−1) = 80548 836024 628341 911135 343935 330744 480150 514063 413492 458614 552502 229622 395986 985221 020596 693115 [i]
- linear OA(323, 28, F3, 15) (dual of [28, 5, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(323, 30, F3, 15) (dual of [30, 7, 16]-code), using
- construction X applied to C([1,33]) ⊂ C([1,27]) [i] based on
- linear OA(322, 26, F3, 16) (dual of [26, 4, 17]-code), using contraction [i] based on linear OA(348, 52, F3, 33) (dual of [52, 4, 34]-code), using the narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(319, 26, F3, 13) (dual of [26, 7, 14]-code), using contraction [i] based on linear OA(345, 52, F3, 27) (dual of [52, 7, 28]-code), using the narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([1,33]) ⊂ C([1,27]) [i] based on
- discarding factors / shortening the dual code based on linear OA(323, 30, F3, 15) (dual of [30, 7, 16]-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.