MinT - Information on Result #2214882

Information on Result #2214882

Linear OA(8¹⁷⁰, 176, F₈, 138) (dual of [176, 6, 139]-code), using strength reduction based on linear OA(8¹⁷⁰, 176, F₈, 139) (dual of [176, 6, 140]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁹, 22, F₆₄, 19) (dual of [22, 3, 20]-code or 22-arc in PG(18,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁹, 64, F₆₄, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
    - Reedâ€“Solomon code RS(45,64) [i]
2. linear OA(8⁶, 8, F₈, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
  - Reedâ€“Solomon code RS(2,8) [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		This result only	Method
1	Linear OA(8¹⁶⁸, 174, F₈, 136) (dual of [174, 6, 137]-code)	[i]		Truncation
2	Linear OA(8¹⁶⁷, 173, F₈, 135) (dual of [173, 6, 136]-code)	[i]
3	Linear OA(8¹⁶⁶, 172, F₈, 134) (dual of [172, 6, 135]-code)	[i]
4	Linear OA(8¹⁶⁴, 170, F₈, 132) (dual of [170, 6, 133]-code)	[i]
5	Linear OA(8¹⁶³, 169, F₈, 131) (dual of [169, 6, 132]-code)	[i]
6	Linear OA(8¹⁶¹, 167, F₈, 129) (dual of [167, 6, 130]-code)	[i]
7	Linear OA(8¹⁶⁰, 166, F₈, 128) (dual of [166, 6, 129]-code)	[i]
8	Linear OA(8¹⁵⁹, 165, F₈, 127) (dual of [165, 6, 128]-code)	[i]
9	Linear OA(8¹⁵⁸, 164, F₈, 126) (dual of [164, 6, 127]-code)	[i]
10	Linear OA(8¹⁵⁷, 163, F₈, 125) (dual of [163, 6, 126]-code)	[i]
11	Linear OA(8¹⁵³, 159, F₈, 121) (dual of [159, 6, 122]-code)	[i]
12	Linear OA(8¹⁵², 158, F₈, 120) (dual of [158, 6, 121]-code)	[i]
13	Linear OA(8¹⁵¹, 157, F₈, 119) (dual of [157, 6, 120]-code)	[i]
14	Linear OA(8¹⁴⁹, 155, F₈, 117) (dual of [155, 6, 118]-code)	[i]
15	Linear OOA(8¹⁷⁰, 88, F₈, 2, 138) (dual of [(88, 2), 6, 139]-NRT-code)	[i]		OOA Folding