Information on Result #1199964
Digital (84, 108, 87392)-net over F32, using net defined by OOA based on linear OOA(32108, 87392, F32, 26, 24) (dual of [(87392, 26), 2272084, 25]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(32108, 524353, F32, 2, 24) (dual of [(524353, 2), 1048598, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(32108, 524354, F32, 2, 24) (dual of [(524354, 2), 1048600, 25]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3215, 64, F32, 2, 12) (dual of [(64, 2), 113, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,115P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OOA(3293, 524290, F32, 2, 24) (dual of [(524290, 2), 1048487, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3293, 1048580, F32, 24) (dual of [1048580, 1048487, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(3293, 1048576, F32, 24) (dual of [1048576, 1048483, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(3289, 1048576, F32, 23) (dual of [1048576, 1048487, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- OOA 2-folding [i] based on linear OA(3293, 1048580, F32, 24) (dual of [1048580, 1048487, 25]-code), using
- linear OOA(3215, 64, F32, 2, 12) (dual of [(64, 2), 113, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(32108, 524354, F32, 2, 24) (dual of [(524354, 2), 1048600, 25]-NRT-code), using
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.