Information on Result #1016408
Linear OOA(9105, 19714, F9, 3, 21) (dual of [(19714, 3), 59037, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(914, 30, F9, 3, 10) (dual of [(30, 3), 76, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,79P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OOA(991, 19684, F9, 3, 21) (dual of [(19684, 3), 58961, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(991, 59052, F9, 21) (dual of [59052, 58961, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(991, 59054, F9, 21) (dual of [59054, 58963, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(991, 59049, F9, 21) (dual of [59049, 58958, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(986, 59049, F9, 20) (dual of [59049, 58963, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(991, 59054, F9, 21) (dual of [59054, 58963, 22]-code), using
- OOA 3-folding [i] based on linear OA(991, 59052, F9, 21) (dual of [59052, 58961, 22]-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.