MinT - Information on Result #1323436

Information on Result #1323436

Linear OA(9¹¹⁰, 129, F₉, 77) (dual of [129, 19, 78]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(9¹⁰⁹, 127, F₉, 77) (dual of [127, 18, 78]-code), using
- constructionÂ X with VarÅ¡amov bound [i] based on
  1. linear OA(9¹⁰², 118, F₉, 77) (dual of [118, 16, 78]-code), using
    - 4 times truncation [i] based on linear OA(9¹⁰⁶, 122, F₉, 81) (dual of [122, 16, 82]-code), using
      - a code from Grasslâ€™s database [i]
  2. linear OA(9¹⁰², 120, F₉, 71) (dual of [120, 18, 72]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 9¹⁰²Â > V_b^sâˆ’1(kâˆ’1)Â = 15 237273 610826 863806 184656 091402 951132 290534 517010 657002 889205 777017 273419 494270 905780 024874 599673 [i]
  3. linear OA(9⁵, 7, F₉, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,9)), using
    - discarding factors / shortening the dual code based on linear OA(9⁵, 9, F₉, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,9)), using
      - Reedâ€“Solomon code RS(4,9) [i]
linear OA(9¹⁰⁹, 128, F₉, 76) (dual of [128, 19, 77]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 9¹⁰⁹Â > V_b^sâˆ’1(kâˆ’1)Â = 98 482854 915665 517279 818522 610865 232671 005266 632738 487215 604560 676221 436755 887473 314276 251588 737716 314681 [i]
linear OA(9⁰, 1, F₉, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(9⁰, s, F₉, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
  - OA with only one run / dual of code without redundancy [i]

Mode: Linear.

None.

None.