MinT - Information on Result #1729458

Information on Result #1729458

Digital (73, 102, 742)-net over F₈, using net defined by OOA based on linear OOA(8¹⁰², 742, F₈, 33, 29) (dual of [(742, 33), 24384, 30]-NRT-code), using

OOA 5-folding and stacking with additional row [i] based on linear OOA(8¹⁰², 3711, F₈, 3, 29) (dual of [(3711, 3), 11031, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹⁰², 3712, F₈, 3, 29) (dual of [(3712, 3), 11034, 30]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(8¹⁰², 3712, F₈, 29) (dual of [3712, 3610, 30]-code), using
    - discarding factors / shortening the dual code based on linear OA(8¹⁰², 4105, F₈, 29) (dual of [4105, 4003, 30]-code), using
      - constructionÂ X applied to C_e(28) âŠ‚ C_e(26) [i] based on
        linear OA(8¹⁰¹, 4096, F₈, 29) (dual of [4096, 3995, 30]-code), using an extension C_e(28) of the primitive narrow-sense BCH-code C(I) with length 4095Â = 8⁴âˆ’1, defining interval IÂ =Â [1,28], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 29 [i]
        linear OA(8⁹³, 4096, F₈, 27) (dual of [4096, 4003, 28]-code), using an extension C_e(26) of the primitive narrow-sense BCH-code C(I) with length 4095Â = 8⁴âˆ’1, defining interval IÂ =Â [1,26], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 27 [i]
        linear OA(8¹, 9, F₈, 1) (dual of [9, 8, 2]-code), using
        discarding factors / shortening the dual code based on linear OA(8¹, s, F₈, 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, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.