Information on Result #1805316
Digital (65, 97, 14912)-net over F25, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2597, 14912, F25, 32) (dual of [14912, 14815, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2597, 15649, F25, 32) (dual of [15649, 15552, 33]-code), using
- 1 times code embedding in larger space [i] based on linear OA(2596, 15648, F25, 32) (dual of [15648, 15552, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(25) [i] based on
- linear OA(2591, 15625, F25, 32) (dual of [15625, 15534, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(255, 23, F25, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- construction X applied to Ce(31) ⊂ Ce(25) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(2596, 15648, F25, 32) (dual of [15648, 15552, 33]-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.