MinT - Information on Result #2452471

Information on Result #2452471

Linear OOA(9¹⁴⁷, 76, F₉, 2, 128) (dual of [(76, 2), 5, 129]-NRT-code), using strength reduction based on linear OOA(9¹⁴⁷, 76, F₉, 2, 129) (dual of [(76, 2), 5, 130]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(9¹⁵, 10, F₉, 2, 15) (dual of [(10, 2), 5, 16]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;5,9) [i]
2. linear OOA(9¹²⁷, 66, F₉, 2, 113) (dual of [(66, 2), 5, 114]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(9¹⁵, 10, F₉, 2, 15) (dual of [(10, 2), 5, 16]-NRT-code) (see above)
    2. linear OOA(9¹⁰⁷, 56, F₉, 2, 97) (dual of [(56, 2), 5, 98]-NRT-code), using
      - repeating each code word 2 times [i] based on linear OOA(9⁵¹, 28, F₉, 2, 48) (dual of [(28, 2), 5, 49]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
        the Hermitian function field over F₉ [i]

Mode: Constructive and 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.