Information on Result #1728916
Digital (103, 128, 32768)-net over F8, using net defined by OOA based on linear OOA(8128, 32768, F8, 27, 25) (dual of [(32768, 27), 884608, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8128, 131073, F8, 3, 25) (dual of [(131073, 3), 393091, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8128, 131075, F8, 3, 25) (dual of [(131075, 3), 393097, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8128, 131075, F8, 2, 25) (dual of [(131075, 2), 262022, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8128, 262150, F8, 25) (dual of [262150, 262022, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8128, 262151, F8, 25) (dual of [262151, 262023, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8121, 262144, F8, 23) (dual of [262144, 262023, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(8128, 262151, F8, 25) (dual of [262151, 262023, 26]-code), using
- OOA 2-folding [i] based on linear OA(8128, 262150, F8, 25) (dual of [262150, 262022, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8128, 131075, F8, 2, 25) (dual of [(131075, 2), 262022, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8128, 131075, F8, 3, 25) (dual of [(131075, 3), 393097, 26]-NRT-code), using
Mode: 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.