MinT - Information on Result #942058

Information on Result #942058

Linear OOA(4¹⁷⁹, 91, F₄, 2, 153) (dual of [(91, 2), 3, 154]-NRT-code), using juxtaposition based on

linear OOA(4¹¹, 7, F₄, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹¹, 9, F₄, 2, 10) (dual of [(9, 2), 7, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [i]
linear OOA(4¹⁶⁵, 84, F₄, 2, 142) (dual of [(84, 2), 3, 143]-NRT-code), using
- 1 step truncation [i] based on linear OOA(4¹⁶⁶, 85, F₄, 2, 143) (dual of [(85, 2), 4, 144]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(16¹⁵, 17, F₁₆, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
      - extended Reedâ€“Solomon code RS_e(2,16) [i]
      - Simplex code S(2,16) [i]
    2. linear OOA(4⁸, 5, F₄, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;2,4) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4¹⁷⁹, 91, F₄, 2, 152) (dual of [(91, 2), 3, 153]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹⁷⁹, 91, F₄, 2, 151) (dual of [(91, 2), 3, 152]-NRT-code)	[i]		Strength Reduction for OOAs