Information on Result #1014838
Linear OOA(8121, 87400, F8, 3, 21) (dual of [(87400, 3), 262079, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(812, 17, F8, 3, 10) (dual of [(17, 3), 39, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,40P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- linear OOA(8109, 87383, F8, 3, 21) (dual of [(87383, 3), 262040, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8109, 262149, F8, 21) (dual of [262149, 262040, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(8109, 262150, F8, 21) (dual of [262150, 262041, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(8103, 262144, F8, 20) (dual of [262144, 262041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(80, 6, F8, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 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(8109, 262150, F8, 21) (dual of [262150, 262041, 22]-code), using
- OOA 3-folding [i] based on linear OA(8109, 262149, F8, 21) (dual of [262149, 262040, 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.