MinT - Information on Result #2452507

Information on Result #2452507

Linear OOA(9¹⁴⁹, 76, F₉, 2, 136) (dual of [(76, 2), 3, 137]-NRT-code), using strength reduction based on linear OOA(9¹⁴⁹, 76, F₉, 2, 139) (dual of [(76, 2), 3, 140]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(9¹⁷, 10, F₉, 2, 17) (dual of [(10, 2), 3, 18]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,9) [i]
2. linear OOA(9¹²⁹, 66, F₉, 2, 121) (dual of [(66, 2), 3, 122]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(9¹⁷, 10, F₉, 2, 17) (dual of [(10, 2), 3, 18]-NRT-code) (see above)
    2. linear OOA(9¹⁰⁹, 56, F₉, 2, 103) (dual of [(56, 2), 3, 104]-NRT-code), using
      - repeating each code word 2 times [i] based on linear OOA(9⁵³, 28, F₉, 2, 51) (dual of [(28, 2), 3, 52]-NRT-code), using
        standard lengthening with (d₀,â€¦,d₁)Â = (50,51) [i] based on linear OOA(9⁵¹, 27, F₉, 2, 49) (dual of [(27, 2), 3, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,4P) with known gap numbers [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F₉ [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(9¹⁴⁶, 74, F₉, 2, 133) (dual of [(74, 2), 2, 134]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(9¹⁴⁵, 74, F₉, 2, 132) (dual of [(74, 2), 3, 133]-NRT-code)	[i]
3	Linear OOA(9¹⁴⁴, 73, F₉, 2, 131) (dual of [(73, 2), 2, 132]-NRT-code)	[i]
4	Linear OOA(9¹⁴³, 73, F₉, 2, 130) (dual of [(73, 2), 3, 131]-NRT-code)	[i]