Information on Result #1719978
Digital (224, 252, 711429)-net over F4, using net defined by OOA based on linear OOA(4252, 711429, F4, 33, 28) (dual of [(711429, 33), 23476905, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4252, 3557146, F4, 3, 28) (dual of [(3557146, 3), 10671186, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4252, 3557149, F4, 3, 28) (dual of [(3557149, 3), 10671195, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4252, 3557149, F4, 2, 28) (dual of [(3557149, 2), 7114046, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4252, 4194301, F4, 2, 28) (dual of [(4194301, 2), 8388350, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4252, 8388602, F4, 28) (dual of [8388602, 8388350, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4252, large, F4, 28) (dual of [large, large−252, 29]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- discarding factors / shortening the dual code based on linear OA(4252, large, F4, 28) (dual of [large, large−252, 29]-code), using
- OOA 2-folding [i] based on linear OA(4252, 8388602, F4, 28) (dual of [8388602, 8388350, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(4252, 4194301, F4, 2, 28) (dual of [(4194301, 2), 8388350, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4252, 3557149, F4, 2, 28) (dual of [(3557149, 2), 7114046, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4252, 3557149, F4, 3, 28) (dual of [(3557149, 3), 10671195, 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.