Information on Result #1213364
Digital (115, 125, 3550756)-net over F5, using (u, u+v)-construction based on
- digital (28, 33, 195316)-net over F5, using
- net defined by OOA [i] based on linear OOA(533, 195316, F5, 5, 5) (dual of [(195316, 5), 976547, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(533, 390633, F5, 5) (dual of [390633, 390600, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(533, 390634, F5, 5) (dual of [390634, 390601, 6]-code), using
- 1 times truncation [i] based on linear OA(534, 390635, F5, 6) (dual of [390635, 390601, 7]-code), using
- construction X4 applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(533, 390625, F5, 6) (dual of [390625, 390592, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(525, 390625, F5, 4) (dual of [390625, 390600, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(59, 10, F5, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,5)), using
- dual of repetition code with length 10 [i]
- linear OA(51, 10, F5, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(5) ⊂ Ce(3) [i] based on
- 1 times truncation [i] based on linear OA(534, 390635, F5, 6) (dual of [390635, 390601, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(533, 390634, F5, 5) (dual of [390634, 390601, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(533, 390633, F5, 5) (dual of [390633, 390600, 6]-code), using
- net defined by OOA [i] based on linear OOA(533, 195316, F5, 5, 5) (dual of [(195316, 5), 976547, 6]-NRT-code), using
- digital (82, 92, 3355440)-net over F5, using
- trace code for nets [i] based on digital (36, 46, 1677720)-net over F25, using
- net defined by OOA [i] based on linear OOA(2546, 1677720, F25, 10, 10) (dual of [(1677720, 10), 16777154, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(2546, 8388600, F25, 10) (dual of [8388600, 8388554, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2546, large, F25, 10) (dual of [large, large−46, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(2546, large, F25, 10) (dual of [large, large−46, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(2546, 8388600, F25, 10) (dual of [8388600, 8388554, 11]-code), using
- net defined by OOA [i] based on linear OOA(2546, 1677720, F25, 10, 10) (dual of [(1677720, 10), 16777154, 11]-NRT-code), using
- trace code for nets [i] based on digital (36, 46, 1677720)-net over F25, 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.