MinT - Information on Result #1303565

Information on Result #1303565

Linear OA(9¹⁴¹, 153, F₉, 106) (dual of [153, 12, 107]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(9¹⁴⁰, 151, F₉, 106) (dual of [151, 11, 107]-code), using
- constructionÂ X with VarÅ¡amov bound [i] based on
  1. linear OA(9¹³⁹, 149, F₉, 106) (dual of [149, 10, 107]-code), using
    - Gilbertâ€“VarÅ¡amov bound and b^mÂ = 9¹³⁹Â > V_b^sâˆ’1(kâˆ’1)Â = 3 701995 215265 153602 507065 497343 265780 914060 565740 277468 962318 880969 361377 898605 438980 992809 432344 094647 916377 286206 544575 141075 967009 [i]
  2. linear OA(9¹³⁹, 150, F₉, 105) (dual of [150, 11, 106]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 9¹³⁹Â > V_b^sâˆ’1(kâˆ’1)Â = 3 579540 906217 348528 374143 926002 731307 267250 489906 513294 359806 956406 201062 484013 034977 246765 009648 221980 746814 200367 413502 770019 974441 [i]
  3. 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]
linear OA(9¹⁴⁰, 152, F₉, 105) (dual of [152, 12, 106]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 9¹⁴⁰Â > V_b^sâˆ’1(kâˆ’1)Â = 36 917231 130944 081700 490712 191624 655969 850868 494771 569197 356910 901688 332287 070015 994405 686580 186002 503238 133363 124324 718797 247255 239161 [i]
linear OA(9⁰, 1, F₉, 0) (dual of [1, 1, 1]-code) (see above)

Mode: Linear.

None.

None.