Information on Result #1117695
Linear OOA(398, 1320, F3, 5, 17) (dual of [(1320, 5), 6502, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(39, 7, F3, 5, 8) (dual of [(7, 5), 26, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,26P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(389, 1313, F3, 5, 17) (dual of [(1313, 5), 6476, 18]-NRT-code), using
- OOA 5-folding [i] based on linear OA(389, 6565, F3, 17) (dual of [6565, 6476, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(389, 6569, F3, 17) (dual of [6569, 6480, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(389, 6561, F3, 17) (dual of [6561, 6472, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(381, 6561, F3, 16) (dual of [6561, 6480, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(30, 8, F3, 0) (dual of [8, 8, 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(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(389, 6569, F3, 17) (dual of [6569, 6480, 18]-code), using
- OOA 5-folding [i] based on linear OA(389, 6565, F3, 17) (dual of [6565, 6476, 18]-code), using
Mode: Constructive and 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.