MinT - Information on Result #1841777

Information on Result #1841777

(27, 36, 2129789)-net in base 128, using net defined by OOA based on OOA(128³⁶, 2129789, S₁₂₈, 12, 9), using

OOA stacking with additional row [i] based on OOA(128³⁶, 2129790, S₁₂₈, 4, 9), using
- (u,Â u+v)-construction [i] based on
  1. OOA(128⁷, 32640, S₁₂₈, 4, 4), using
    - OA 2-folding and stacking [i] based on OA(128⁷, 65280, S₁₂₈, 4), using
      - discarding parts of the base [i] based on linear OA(256⁶, 65280, F₂₅₆, 4) (dual of [65280, 65274, 5]-code), using
        1 times truncation [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
  2. OOA(128²⁹, 2097150, S₁₂₈, 4, 9), using
    - OOA 4-folding [i] based on OA(128²⁹, 8388600, S₁₂₈, 9), using
      - discarding factors based on OA(128²⁹, large, S₁₂₈, 9), using
        discarding parts of the base [i] based on linear OA(256²⁵, large, F₂₅₆, 9) (dual of [large, large−25, 10]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive.

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

The following results depend on this result:

	Result		This result only	Method
1	(33, 42, 2129789)-net in base 64	[i]		Base Change