Information on Result #1189388
Digital (97, 118, 7815)-net over F5, using net defined by OOA based on linear OOA(5118, 7815, F5, 21, 21) (dual of [(7815, 21), 163997, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(5118, 78151, F5, 21) (dual of [78151, 78033, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5118, 78152, F5, 21) (dual of [78152, 78034, 22]-code), using
- construction XX applied to Ce(20) ⊂ Ce(16) ⊂ Ce(15) [i] based on
- linear OA(5113, 78125, F5, 21) (dual of [78125, 78012, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(20) ⊂ Ce(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(5118, 78152, F5, 21) (dual of [78152, 78034, 22]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (98, 118, 7815)-net over F5 | [i] | t-Expansion | |
| 2 | Digital (98, 119, 7815)-net over F5 | [i] | Net Duplication | |
| 3 | Digital (99, 120, 7815)-net over F5 | [i] | ||