Information on Result #1723790
Digital (73, 97, 631)-net over F5, using net defined by OOA based on linear OOA(597, 631, F5, 27, 24) (dual of [(631, 27), 16940, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(597, 2525, F5, 3, 24) (dual of [(2525, 3), 7478, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(597, 2525, F5, 24) (dual of [2525, 2428, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(597, 3136, F5, 24) (dual of [3136, 3039, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- linear OA(596, 3125, F5, 24) (dual of [3125, 3029, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(586, 3125, F5, 22) (dual of [3125, 3039, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(51, 11, F5, 1) (dual of [11, 10, 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(597, 3136, F5, 24) (dual of [3136, 3039, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(597, 2525, F5, 24) (dual of [2525, 2428, 25]-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.