Information on Result #1717356
Digital (47, 55, 130798)-net over F4, using net defined by OOA based on linear OOA(455, 130798, F4, 10, 8) (dual of [(130798, 10), 1307925, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(455, 261597, F4, 2, 8) (dual of [(261597, 2), 523139, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(455, 261598, F4, 2, 8) (dual of [(261598, 2), 523141, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(455, 261598, F4, 8) (dual of [261598, 261543, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(455, 262154, F4, 8) (dual of [262154, 262099, 9]-code), using
- 1 times truncation [i] based on linear OA(456, 262155, F4, 9) (dual of [262155, 262099, 10]-code), using
- construction X4 applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(455, 262144, F4, 9) (dual of [262144, 262089, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(410, 11, F4, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,4)), using
- dual of repetition code with length 11 [i]
- linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(8) ⊂ Ce(6) [i] based on
- 1 times truncation [i] based on linear OA(456, 262155, F4, 9) (dual of [262155, 262099, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(455, 262154, F4, 8) (dual of [262154, 262099, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(455, 261598, F4, 8) (dual of [261598, 261543, 9]-code), using
- discarding factors / shortening the dual code based on linear OOA(455, 261598, F4, 2, 8) (dual of [(261598, 2), 523141, 9]-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.