MinT - Information on Result #1608774

Information on Result #1608774

Linear OOA(3²⁰², 144110, F₃, 4, 25) (dual of [(144110, 4), 576238, 26]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3²⁰², 144110, F₃, 3, 25) (dual of [(144110, 3), 432128, 26]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²⁰², 177162, F₃, 3, 25) (dual of [(177162, 3), 531284, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3²⁰², 531486, F₃, 25) (dual of [531486, 531284, 26]-code), using
  - constructionÂ X applied to C_e(24) âŠ‚ C_e(19) [i] based on
    1. linear OA(3¹⁹³, 531441, F₃, 25) (dual of [531441, 531248, 26]-code), using an extension C_e(24) of the primitive narrow-sense BCH-code C(I) with length 531440Â = 3¹²âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [i]
    2. linear OA(3¹⁵⁷, 531441, F₃, 20) (dual of [531441, 531284, 21]-code), using an extension C_e(19) of the primitive narrow-sense BCH-code C(I) with length 531440Â = 3¹²âˆ’1, defining interval IÂ =Â [1,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [i]
    3. linear OA(3⁹, 45, F₃, 4) (dual of [45, 36, 5]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁹, 80, F₃, 4) (dual of [80, 71, 5]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 80Â = 3⁴âˆ’1, defining interval IÂ =Â [0,2], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [i]

Mode: Linear.

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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²⁰², 48036, F₃, 28, 25) (dual of [(48036, 28), 1344806, 26]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row