MinT - Information on Result #1651594

Information on Result #1651594

Linear OOA(3²³⁹, 84199, F₃, 5, 30) (dual of [(84199, 5), 420756, 31]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3²³⁹, 84199, F₃, 2, 30) (dual of [(84199, 2), 168159, 31]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²³⁹, 88615, F₃, 2, 30) (dual of [(88615, 2), 176991, 31]-NRT-code), using
- 3¹ times duplication [i] based on linear OOA(3²³⁸, 88615, F₃, 2, 30) (dual of [(88615, 2), 176992, 31]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(3²³⁸, 177230, F₃, 30) (dual of [177230, 176992, 31]-code), using
    - 1 times code embedding in larger space [i] based on linear OA(3²³⁷, 177229, F₃, 30) (dual of [177229, 176992, 31]-code), using
      - constructionÂ X applied to C_e(30) âŠ‚ C_e(21) [i] based on
        linear OA(3²²¹, 177147, F₃, 31) (dual of [177147, 176926, 32]-code), using an extension C_e(30) of the primitive narrow-sense BCH-code C(I) with length 177146Â = 3¹¹âˆ’1, defining interval IÂ =Â [1,30], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 31 [i]
        linear OA(3¹⁵⁵, 177147, F₃, 22) (dual of [177147, 176992, 23]-code), using an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 177146Â = 3¹¹âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]
        linear OA(3¹⁶, 82, F₃, 7) (dual of [82, 66, 8]-code), using
        generator matrices provided on Edelâ€™s homepage [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(3²³⁹, 28066, F₃, 35, 30) (dual of [(28066, 35), 982071, 31]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row