Information on Result #1221356
Digital (47, 64, 2110)-net over F25, using (u, u+v)-construction based on
- digital (7, 15, 157)-net over F25, using
- net defined by OOA [i] based on linear OOA(2515, 157, F25, 8, 8) (dual of [(157, 8), 1241, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(2515, 628, F25, 8) (dual of [628, 613, 9]-code), using
- construction XX applied to C1 = C([623,5]), C2 = C([0,6]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([623,6]) [i] based on
- linear OA(2513, 624, F25, 7) (dual of [624, 611, 8]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,5}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2513, 624, F25, 7) (dual of [624, 611, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2515, 624, F25, 8) (dual of [624, 609, 9]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,6}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(2511, 624, F25, 6) (dual of [624, 613, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([623,5]), C2 = C([0,6]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([623,6]) [i] based on
- OA 4-folding and stacking [i] based on linear OA(2515, 628, F25, 8) (dual of [628, 613, 9]-code), using
- net defined by OOA [i] based on linear OOA(2515, 157, F25, 8, 8) (dual of [(157, 8), 1241, 9]-NRT-code), using
- digital (32, 49, 1953)-net over F25, using
- net defined by OOA [i] based on linear OOA(2549, 1953, F25, 17, 17) (dual of [(1953, 17), 33152, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(2549, 15625, F25, 17) (dual of [15625, 15576, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 8-folding and stacking with additional row [i] based on linear OA(2549, 15625, F25, 17) (dual of [15625, 15576, 18]-code), using
- net defined by OOA [i] based on linear OOA(2549, 1953, F25, 17, 17) (dual of [(1953, 17), 33152, 18]-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.