Information on Result #1724838
Digital (36, 44, 284167)-net over F7, using net defined by OOA based on linear OOA(744, 284167, F7, 10, 8) (dual of [(284167, 10), 2841626, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(744, 568335, F7, 2, 8) (dual of [(568335, 2), 1136626, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(744, 568335, F7, 8) (dual of [568335, 568291, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(744, 823551, F7, 8) (dual of [823551, 823507, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(743, 823543, F7, 8) (dual of [823543, 823500, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(736, 823543, F7, 6) (dual of [823543, 823507, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(71, 8, F7, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(744, 823551, F7, 8) (dual of [823551, 823507, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(744, 568335, F7, 8) (dual of [568335, 568291, 9]-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.