MinT - Information on Result #1493363

Information on Result #1493363

Linear OOA(9¹²⁷, 27762, F₉, 3, 28) (dual of [(27762, 3), 83159, 29]-NRT-code), using OOA 2-folding based on linear OOA(9¹²⁷, 55524, F₉, 2, 28) (dual of [(55524, 2), 110921, 29]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(9¹²⁷, 55525, F₉, 2, 28) (dual of [(55525, 2), 110923, 29]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(9¹²⁷, 55525, F₉, 28) (dual of [55525, 55398, 29]-code), using
  - discarding factors / shortening the dual code based on linear OA(9¹²⁷, 59075, F₉, 28) (dual of [59075, 58948, 29]-code), using
    - constructionÂ X applied to C_e(27) âŠ‚ C_e(22) [i] based on
      1. linear OA(9¹²¹, 59049, F₉, 28) (dual of [59049, 58928, 29]-code), using an extension C_e(27) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 9⁵âˆ’1, defining interval IÂ =Â [1,27], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 28 [i]
      2. linear OA(9¹⁰¹, 59049, F₉, 23) (dual of [59049, 58948, 24]-code), using an extension C_e(22) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 9⁵âˆ’1, defining interval IÂ =Â [1,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]
      3. linear OA(9⁶, 26, F₉, 4) (dual of [26, 20, 5]-code), using
        discarding factors / shortening the dual code based on linear OA(9⁶, 72, F₉, 4) (dual of [72, 66, 5]-code), using
        1 times truncation [i] based on linear OA(9⁷, 73, F₉, 5) (dual of [73, 66, 6]-code), using
        a code by Danev and Olsson [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.