Information on Result #1642063
Linear OOA(396, 7974, F3, 5, 16) (dual of [(7974, 5), 39774, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(396, 7974, F3, 2, 16) (dual of [(7974, 2), 15852, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(396, 9853, F3, 2, 16) (dual of [(9853, 2), 19610, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(396, 19706, F3, 16) (dual of [19706, 19610, 17]-code), using
- 1 times code embedding in larger space [i] based on linear OA(395, 19705, F3, 16) (dual of [19705, 19610, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(391, 19683, F3, 16) (dual of [19683, 19592, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(373, 19683, F3, 13) (dual of [19683, 19610, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(34, 22, F3, 2) (dual of [22, 18, 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(395, 19705, F3, 16) (dual of [19705, 19610, 17]-code), using
- OOA 2-folding [i] based on linear OA(396, 19706, F3, 16) (dual of [19706, 19610, 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.