MinT - Information on Result #2642774

Information on Result #2642774

Linear OOA(7¹⁰⁸, 37, F₇, 3, 99) (dual of [(37, 3), 3, 100]-NRT-code), using strength reduction based on linear OOA(7¹⁰⁸, 37, F₇, 3, 100) (dual of [(37, 3), 3, 101]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(7¹², 5, F₇, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(7¹², 7, F₇, 3, 12) (dual of [(7, 3), 9, 13]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;9,7) [i]
2. linear OOA(7⁹³, 32, F₇, 3, 87) (dual of [(32, 3), 3, 88]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(7²¹, 8, F₇, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;3,7) [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(7¹⁰⁰, 34, F₇, 3, 91) (dual of [(34, 3), 2, 92]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(7⁹⁹, 34, F₇, 3, 90) (dual of [(34, 3), 3, 91]-NRT-code)	[i]
3	Linear OOA(7⁹⁷, 33, F₇, 3, 88) (dual of [(33, 3), 2, 89]-NRT-code)	[i]