MinT - Information on Result #1117202

Information on Result #1117202

Linear OOA(3¹³³, 1684201, F₃, 5, 11) (dual of [(1684201, 5), 8420872, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3²⁷, 6481, F₃, 5, 5) (dual of [(6481, 5), 32378, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(3²⁷, 12963, F₃, 5) (dual of [12963, 12936, 6]-code), using
  - 1 times code embedding in larger space [i] based on linear OA(3²⁶, 12962, F₃, 5) (dual of [12962, 12936, 6]-code), using
    - trace code [i] based on linear OA(9¹³, 6481, F₉, 5) (dual of [6481, 6468, 6]-code), using
      - base reduction for projective spaces (embedding PG(6,81) in PG(12,9)) [i] based on linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
        a code by Danev and Olsson [i]
linear OOA(3¹⁰⁶, 1677720, F₃, 5, 11) (dual of [(1677720, 5), 8388494, 12]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3¹⁰⁶, 8388600, F₃, 11) (dual of [8388600, 8388494, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁰⁶, large, F₃, 11) (dual of [large, large−106, 12]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹³³, 1684200, F₃, 15, 11) (dual of [(1684200, 15), 25262867, 12]-NRT-code)	[i]		OOA Stacking with Additional Row