Information on Result #1746906
Digital (10, 20, 3486)-net over F128, using net defined by OOA based on linear OOA(12820, 3486, F128, 15, 10) (dual of [(3486, 15), 52270, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12820, 6973, F128, 3, 10) (dual of [(6973, 3), 20899, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12820, 6974, F128, 3, 10) (dual of [(6974, 3), 20902, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12820, 6974, F128, 2, 10) (dual of [(6974, 2), 13928, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12820, 8194, F128, 2, 10) (dual of [(8194, 2), 16368, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12820, 16388, F128, 10) (dual of [16388, 16368, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(12820, 16389, F128, 10) (dual of [16389, 16369, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(12815, 16384, F128, 8) (dual of [16384, 16369, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(12820, 16389, F128, 10) (dual of [16389, 16369, 11]-code), using
- OOA 2-folding [i] based on linear OA(12820, 16388, F128, 10) (dual of [16388, 16368, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(12820, 8194, F128, 2, 10) (dual of [(8194, 2), 16368, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12820, 6974, F128, 2, 10) (dual of [(6974, 2), 13928, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12820, 6974, F128, 3, 10) (dual of [(6974, 3), 20902, 11]-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.