Information on Result #1117699
Linear OOA(3121, 11819, F3, 5, 17) (dual of [(11819, 5), 58974, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(310, 8, F3, 5, 8) (dual of [(8, 5), 30, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,31P) [i] based on function field F/F3 with g(F) = 2 and N(F) ≥ 8, using
- linear OOA(3111, 11811, F3, 5, 17) (dual of [(11811, 5), 58944, 18]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3111, 59055, F3, 17) (dual of [59055, 58944, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3111, 59059, F3, 17) (dual of [59059, 58948, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(3111, 59049, F3, 17) (dual of [59049, 58938, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(30, 10, F3, 0) (dual of [10, 10, 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(3111, 59059, F3, 17) (dual of [59059, 58948, 18]-code), using
- OOA 5-folding [i] based on linear OA(3111, 59055, F3, 17) (dual of [59055, 58944, 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.