MinT - Information on Result #1303550

Information on Result #1303550

Linear OA(9¹³⁷, 151, F₉, 101) (dual of [151, 14, 102]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(9¹³⁶, 149, F₉, 101) (dual of [149, 13, 102]-code), using
- constructionÂ X with VarÅ¡amov bound [i] based on
  1. linear OA(9¹³⁵, 147, F₉, 101) (dual of [147, 12, 102]-code), using
    - Gilbertâ€“VarÅ¡amov bound and b^mÂ = 9¹³⁵Â > V_b^sâˆ’1(kâˆ’1)Â = 632 513935 518394 515165 867710 461513 911063 037189 285925 087708 256779 546967 819033 017201 519870 830515 041621 729120 187502 343649 894995 131089 [i]
  2. linear OA(9¹³⁵, 148, F₉, 100) (dual of [148, 13, 101]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 9¹³⁵Â > V_b^sâˆ’1(kâˆ’1)Â = 506 225332 081606 646784 465989 461114 871501 881476 282662 433546 067803 560917 284999 202438 039068 576198 250988 536624 563320 718612 566114 881881 [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(9¹³⁶, 150, F₉, 100) (dual of [150, 14, 101]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 9¹³⁶Â > V_b^sâˆ’1(kâˆ’1)Â = 4498 639427 446861 502134 786908 254121 713658 231905 924807 253669 885347 503419 016227 295793 164747 296586 702388 173159 345110 850719 051200 216361 [i]
linear OA(9⁰, 1, F₉, 0) (dual of [1, 1, 1]-code) (see above)

Mode: Linear.

None.

None.