Information on Result #1728992
Digital (147, 172, 1744114)-net over F8, using net defined by OOA based on linear OOA(8172, 1744114, F8, 27, 25) (dual of [(1744114, 27), 47090906, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8172, 6976457, F8, 3, 25) (dual of [(6976457, 3), 20929199, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8172, 6976460, F8, 3, 25) (dual of [(6976460, 3), 20929208, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8172, 6976460, F8, 25) (dual of [6976460, 6976288, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8172, large, F8, 25) (dual of [large, large−172, 26]-code), using
- 3 times code embedding in larger space [i] based on linear OA(8169, large, F8, 25) (dual of [large, large−169, 26]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 3 times code embedding in larger space [i] based on linear OA(8169, large, F8, 25) (dual of [large, large−169, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8172, large, F8, 25) (dual of [large, large−172, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8172, 6976460, F8, 25) (dual of [6976460, 6976288, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(8172, 6976460, F8, 3, 25) (dual of [(6976460, 3), 20929208, 26]-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.