MinT - Information on Result #2797383

Information on Result #2797383

Linear OOA(3¹¹⁷, 2391488, F₃, 4, 10) (dual of [(2391488, 4), 9565835, 11]-NRT-code), using 3¹ times duplication based on linear OOA(3¹¹⁶, 2391488, F₃, 4, 10) (dual of [(2391488, 4), 9565836, 11]-NRT-code), using

OOA 2-folding [i] based on linear OOA(3¹¹⁶, 4782976, F₃, 2, 10) (dual of [(4782976, 2), 9565836, 11]-NRT-code), using
- trace code [i] based on linear OOA(9⁵⁸, 2391488, F₉, 2, 10) (dual of [(2391488, 2), 4782918, 11]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(9⁵⁸, 4782976, F₉, 10) (dual of [4782976, 4782918, 11]-code), using
    - discarding factors / shortening the dual code based on linear OA(9⁵⁸, 4782977, F₉, 10) (dual of [4782977, 4782919, 11]-code), using
      - constructionÂ X applied to C_e(9) âŠ‚ C_e(7) [i] based on
        linear OA(9⁵⁷, 4782969, F₉, 10) (dual of [4782969, 4782912, 11]-code), using an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 9⁷âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]
        linear OA(9⁵⁰, 4782969, F₉, 8) (dual of [4782969, 4782919, 9]-code), using an extension C_e(7) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 9⁷âˆ’1, defining interval IÂ =Â [1,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [i]
        linear OA(9¹, 8, F₉, 1) (dual of [8, 7, 2]-code), using
        discarding factors / shortening the dual code based on linear OA(9¹, s, F₉, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.