Information on Result #1724180
Digital (83, 111, 474)-net over F5, using net defined by OOA based on linear OOA(5111, 474, F5, 33, 28) (dual of [(474, 33), 15531, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(5111, 2371, F5, 3, 28) (dual of [(2371, 3), 7002, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5111, 2372, F5, 3, 28) (dual of [(2372, 3), 7005, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5111, 2372, F5, 28) (dual of [2372, 2261, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(5111, 3125, F5, 28) (dual of [3125, 3014, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- discarding factors / shortening the dual code based on linear OA(5111, 3125, F5, 28) (dual of [3125, 3014, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5111, 2372, F5, 28) (dual of [2372, 2261, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(5111, 2372, F5, 3, 28) (dual of [(2372, 3), 7005, 29]-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.