Information on Result #1299222
Linear OA(3229, 266, F3, 110) (dual of [266, 37, 111]-code), using construction X with Varšamov bound based on
- linear OA(3200, 232, F3, 110) (dual of [232, 32, 111]-code), using
- 12 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
- 12 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3200, 237, F3, 93) (dual of [237, 37, 94]-code), using Gilbert–Varšamov bound and bm = 3200 > Vbs−1(k−1) = 131595 668321 399237 019688 172551 389266 199339 131377 523873 917197 610513 893351 354231 988081 631394 380145 [i]
- linear OA(324, 29, F3, 16) (dual of [29, 5, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(324, 30, F3, 16) (dual of [30, 6, 17]-code), using
- residual code [i] based on linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using
- an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- residual code [i] based on linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using
- discarding factors / shortening the dual code based on linear OA(324, 30, F3, 16) (dual of [30, 6, 17]-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.