Information on Result #1714422
Digital (98, 118, 3281)-net over F3, using net defined by OOA based on linear OOA(3118, 3281, F3, 25, 20) (dual of [(3281, 25), 81907, 21]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3118, 6563, F3, 5, 20) (dual of [(6563, 5), 32697, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3118, 6564, F3, 5, 20) (dual of [(6564, 5), 32702, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3118, 6564, F3, 3, 20) (dual of [(6564, 3), 19574, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3118, 19692, F3, 20) (dual of [19692, 19574, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3109, 19683, F3, 19) (dual of [19683, 19574, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- OOA 3-folding [i] based on linear OA(3118, 19692, F3, 20) (dual of [19692, 19574, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3118, 6564, F3, 3, 20) (dual of [(6564, 3), 19574, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3118, 6564, F3, 5, 20) (dual of [(6564, 5), 32702, 21]-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.