MinT - Information on Result #1848757

Information on Result #1848757

OOA(128⁶⁴, 3579378, S₁₂₈, 3, 19), using extracting embedded OOA based on (45, 64, 3579378)-net in base 128, using

base change [i] based on digital (37, 56, 3579378)-net over F₂₅₆, using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(256⁵⁶, 3579378, F₂₅₆, 2, 19) (dual of [(3579378, 2), 7158700, 20]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(256⁵⁶, 4194301, F₂₅₆, 2, 19) (dual of [(4194301, 2), 8388546, 20]-NRT-code), using
    - 256¹ times duplication [i] based on linear OOA(256⁵⁵, 4194301, F₂₅₆, 2, 19) (dual of [(4194301, 2), 8388547, 20]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(256⁵⁵, 8388602, F₂₅₆, 19) (dual of [8388602, 8388547, 20]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁵⁵, large, F₂₅₆, 19) (dual of [large, large−55, 20]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [i]

Mode: Arbitrary.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	OOA(128⁶⁵, 3579378, S₁₂₈, 3, 19)	[i]		OOA Duplication