MinT - Information on Result #2418255

Information on Result #2418255

Linear OOA(2⁹⁹, 57, F₂, 2, 50) (dual of [(57, 2), 15, 51]-NRT-code), using strength reduction based on linear OOA(2⁹⁹, 57, F₂, 2, 51) (dual of [(57, 2), 15, 52]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8¹⁴, 19, F₈, 12) (dual of [19, 5, 13]-code), using
  - 1 times truncation [i] based on linear OA(8¹⁵, 20, F₈, 13) (dual of [20, 5, 14]-code), using
    - generator matrices provided on Edelâ€™s homepage [i]
2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [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(2⁹⁸, 56, F₂, 2, 49) (dual of [(56, 2), 14, 50]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(2⁹⁷, 56, F₂, 2, 48) (dual of [(56, 2), 15, 49]-NRT-code)	[i]
3	Linear OOA(2⁹⁵, 55, F₂, 2, 46) (dual of [(55, 2), 15, 47]-NRT-code)	[i]