Information on Result #1710374
Digital (81, 100, 273)-net over F2, using net defined by OOA based on linear OOA(2100, 273, F2, 25, 19) (dual of [(273, 25), 6725, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2100, 547, F2, 5, 19) (dual of [(547, 5), 2635, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2100, 547, F2, 3, 19) (dual of [(547, 3), 1541, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2100, 682, F2, 3, 19) (dual of [(682, 3), 1946, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2100, 2046, F2, 19) (dual of [2046, 1946, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2100, 2048, F2, 19) (dual of [2048, 1948, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(2100, 2048, F2, 19) (dual of [2048, 1948, 20]-code), using
- OOA 3-folding [i] based on linear OA(2100, 2046, F2, 19) (dual of [2046, 1946, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(2100, 682, F2, 3, 19) (dual of [(682, 3), 1946, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2100, 547, F2, 3, 19) (dual of [(547, 3), 1541, 20]-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.