Information on Result #2817270
Linear OOA(3118, 59058, F3, 4, 16) (dual of [(59058, 4), 236114, 17]-NRT-code), using 32 times duplication based on linear OOA(3116, 59058, F3, 4, 16) (dual of [(59058, 4), 236116, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3116, 59058, F3, 3, 16) (dual of [(59058, 3), 177058, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3116, 177174, F3, 16) (dual of [177174, 177058, 17]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3115, 177173, F3, 16) (dual of [177173, 177058, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(3111, 177147, F3, 16) (dual of [177147, 177036, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(389, 177147, F3, 13) (dual of [177147, 177058, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(34, 26, F3, 2) (dual of [26, 22, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3115, 177173, F3, 16) (dual of [177173, 177058, 17]-code), using
- OOA 3-folding [i] based on linear OA(3116, 177174, F3, 16) (dual of [177174, 177058, 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.