Information on Result #1846927
OOA(1615, 983, S16, 2, 6), using extracting embedded OOA based on (9, 15, 983)-net in base 16, using
- base change [i] based on digital (6, 12, 983)-net over F32, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3212, 983, F32, 6) (dual of [983, 971, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(3212, 1029, F32, 6) (dual of [1029, 1017, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(3211, 1024, F32, 6) (dual of [1024, 1013, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(327, 1024, F32, 4) (dual of [1024, 1017, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(3212, 1029, F32, 6) (dual of [1029, 1017, 7]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3212, 983, F32, 6) (dual of [983, 971, 7]-code), using
Mode: Arbitrary.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.