Information on Result #1723828
Digital (92, 116, 2545)-net over F5, using net defined by OOA based on linear OOA(5116, 2545, F5, 27, 24) (dual of [(2545, 27), 68599, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5116, 10181, F5, 3, 24) (dual of [(10181, 3), 30427, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5116, 10182, F5, 3, 24) (dual of [(10182, 3), 30430, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5116, 10182, F5, 24) (dual of [10182, 10066, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(5116, 15638, F5, 24) (dual of [15638, 15522, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- linear OA(5115, 15625, F5, 24) (dual of [15625, 15510, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(5103, 15625, F5, 22) (dual of [15625, 15522, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(51, 13, F5, 1) (dual of [13, 12, 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 X applied to Ce(23) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(5116, 15638, F5, 24) (dual of [15638, 15522, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5116, 10182, F5, 24) (dual of [10182, 10066, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(5116, 10182, F5, 3, 24) (dual of [(10182, 3), 30430, 25]-NRT-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.