MinT - Information on Result #1300749

Information on Result #1300749

Linear OA(4²⁰³, 252, F₄, 105) (dual of [252, 49, 106]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(4²⁰², 250, F₄, 105) (dual of [250, 48, 106]-code), using
- 2 times truncation [i] based on linear OA(4²⁰⁴, 252, F₄, 107) (dual of [252, 48, 108]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(64²⁶, 42, F₆₄, 26) (dual of [42, 16, 27]-code or 42-arc in PG(25,64)), using
      - discarding factors / shortening the dual code based on linear OA(64²⁶, 64, F₆₄, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
        Reedâ€“Solomon code RS(38,64) [i]
    2. linear OA(4³, 6, F₄, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
      - hyperoval in PG(2,Â 4) [i]
      - the Hexacode [i]
linear OA(4²⁰², 251, F₄, 104) (dual of [251, 49, 105]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 4²⁰²Â > V_b^sâˆ’1(kâˆ’1)Â = 34 194057 169283 567634 368580 277331 600663 378478 368522 759741 260583 292819 100819 717319 086199 420731 802030 833601 971902 399291 714436 [i]
linear OA(4⁰, 1, F₄, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁰, s, F₄, 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.

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(4²⁰⁴, 254, F₄, 105) (dual of [254, 50, 106]-code)	[i]		ConstructionÂ X with VarÅ¡amov Bound