MinT - Information on Result #1651499

Information on Result #1651499

Linear OOA(3²³⁸, 336968, F₃, 5, 28) (dual of [(336968, 5), 1684602, 29]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3²³⁸, 336968, F₃, 4, 28) (dual of [(336968, 4), 1347634, 29]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²³⁸, 398584, F₃, 4, 28) (dual of [(398584, 4), 1594098, 29]-NRT-code), using
- 3² times duplication [i] based on linear OOA(3²³⁶, 398584, F₃, 4, 28) (dual of [(398584, 4), 1594100, 29]-NRT-code), using
  - OOA 4-folding [i] based on linear OA(3²³⁶, 1594336, F₃, 28) (dual of [1594336, 1594100, 29]-code), using
    - discarding factors / shortening the dual code based on linear OA(3²³⁶, 1594337, F₃, 28) (dual of [1594337, 1594101, 29]-code), using
      - constructionÂ X applied to C_e(27) âŠ‚ C_e(25) [i] based on
        linear OA(3²³⁵, 1594323, F₃, 28) (dual of [1594323, 1594088, 29]-code), using an extension C_e(27) of the primitive narrow-sense BCH-code C(I) with length 1594322Â = 3¹³âˆ’1, defining interval IÂ =Â [1,27], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 28 [i]
        linear OA(3²²², 1594323, F₃, 26) (dual of [1594323, 1594101, 27]-code), using an extension C_e(25) of the primitive narrow-sense BCH-code C(I) with length 1594322Â = 3¹³âˆ’1, defining interval IÂ =Â [1,25], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 26 [i]
        linear OA(3¹, 14, F₃, 1) (dual of [14, 13, 2]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [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

None.