Information on Result #1712132
Digital (216, 251, 1193)-net over F2, using net defined by OOA based on linear OOA(2251, 1193, F2, 42, 35) (dual of [(1193, 42), 49855, 36]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2251, 3580, F2, 6, 35) (dual of [(3580, 6), 21229, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2251, 3581, F2, 6, 35) (dual of [(3581, 6), 21235, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2251, 3581, F2, 4, 35) (dual of [(3581, 4), 14073, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2251, 4108, F2, 4, 35) (dual of [(4108, 4), 16181, 36]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2251, 16432, F2, 35) (dual of [16432, 16181, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(28) [i] based on
- linear OA(2239, 16384, F2, 35) (dual of [16384, 16145, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2197, 16384, F2, 29) (dual of [16384, 16187, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(212, 48, F2, 5) (dual of [48, 36, 6]-code), using
- adding a parity check bit [i] based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), using
- extracting embedded orthogonal array [i] based on digital (7, 11, 47)-net over F2, using
- adding a parity check bit [i] based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), using
- construction X applied to Ce(34) ⊂ Ce(28) [i] based on
- OOA 4-folding [i] based on linear OA(2251, 16432, F2, 35) (dual of [16432, 16181, 36]-code), using
- discarding factors / shortening the dual code based on linear OOA(2251, 4108, F2, 4, 35) (dual of [(4108, 4), 16181, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2251, 3581, F2, 4, 35) (dual of [(3581, 4), 14073, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2251, 3581, F2, 6, 35) (dual of [(3581, 6), 21235, 36]-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.