Information on Result #1192102
Digital (98, 116, 233022)-net over F8, using net defined by OOA based on linear OOA(8116, 233022, F8, 21, 18) (dual of [(233022, 21), 4893346, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8116, 699067, F8, 3, 18) (dual of [(699067, 3), 2097085, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(810, 14, F8, 3, 9) (dual of [(14, 3), 32, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OOA(8106, 699053, F8, 3, 18) (dual of [(699053, 3), 2097053, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8106, 2097159, F8, 18) (dual of [2097159, 2097053, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 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(17) ⊂ Ce(16) [i] based on
- OOA 3-folding [i] based on linear OA(8106, 2097159, F8, 18) (dual of [2097159, 2097053, 19]-code), using
- linear OOA(810, 14, F8, 3, 9) (dual of [(14, 3), 32, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.