Information on Result #1014801
Linear OOA(8115, 87400, F8, 3, 20) (dual of [(87400, 3), 262085, 21]-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(8103, 87383, F8, 3, 20) (dual of [(87383, 3), 262046, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8103, 262149, F8, 20) (dual of [262149, 262046, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8103, 262150, F8, 20) (dual of [262150, 262047, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- 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(897, 262144, F8, 19) (dual of [262144, 262047, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(8103, 262150, F8, 20) (dual of [262150, 262047, 21]-code), using
- OOA 3-folding [i] based on linear OA(8103, 262149, F8, 20) (dual of [262149, 262046, 21]-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.