MinT - Information on Result #2418508

Information on Result #2418508

Linear OOA(2¹⁰⁵, 60, F₂, 2, 54) (dual of [(60, 2), 15, 55]-NRT-code), using strength reduction based on linear OOA(2¹⁰⁵, 60, F₂, 2, 55) (dual of [(60, 2), 15, 56]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. 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(2¹⁰⁷, 61, F₂, 2, 54) (dual of [(61, 2), 15, 55]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(2¹⁰⁶, 60, F₂, 2, 54) (dual of [(60, 2), 14, 55]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(2¹⁰⁵, 30, F₂, 4, 54) (dual of [(30, 4), 15, 55]-NRT-code)	[i]	OOA Folding