Information on Result #1188422
Digital (61, 70, 488296)-net over F5, using net defined by OOA based on linear OOA(570, 488296, F5, 10, 9) (dual of [(488296, 10), 4882890, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(570, 976593, F5, 2, 9) (dual of [(976593, 2), 1953116, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(570, 976594, F5, 2, 9) (dual of [(976594, 2), 1953118, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(56, 27, F5, 2, 4) (dual of [(27, 2), 48, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 6, 27)-net over F5, using
- linear OOA(564, 976567, F5, 2, 9) (dual of [(976567, 2), 1953070, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(564, 1953134, F5, 9) (dual of [1953134, 1953070, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(564, 1953125, F5, 9) (dual of [1953125, 1953061, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(555, 1953125, F5, 8) (dual of [1953125, 1953070, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(50, 9, F5, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(564, 1953134, F5, 9) (dual of [1953134, 1953070, 10]-code), using
- linear OOA(56, 27, F5, 2, 4) (dual of [(27, 2), 48, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(570, 976594, F5, 2, 9) (dual of [(976594, 2), 1953118, 10]-NRT-code), using
Mode: Constructive and 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.