MinT - Information on Result #2213811

Information on Result #2213811

Linear OA(8¹³⁶, 140, F₈, 118) (dual of [140, 4, 119]-code), using strength reduction based on linear OA(8¹³⁶, 140, F₈, 119) (dual of [140, 4, 120]-code), using

juxtaposition [i] based on
1. linear OA(8⁶¹, 65, F₈, 55) (dual of [65, 4, 56]-code), using
  - projective code from ovoid in PG(3,Â 8) [i]
  - the expurgated narrow-sense BCH-code C(I) with length 65Â | 8⁴âˆ’1, defining interval IÂ =Â [0,27], and minimum distance dÂ â‰¥ |{−27,−26,…,27}|+1Â =Â 56 (BCH-bound) [i]
2. linear OA(8⁷¹, 75, F₈, 63) (dual of [75, 4, 64]-code), using
  - constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [65,1,64]-code [i] based on
    1. linear OA(8⁶¹, 65, F₈, 55) (dual of [65, 4, 56]-code), using projective code from ovoid in PG(3,Â 8) [i]
    2. linear OA(8⁷, 10, F₈, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
      - Denniston code D(1,8) [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		Method
1	Linear OA(8¹²⁸, 132, F₈, 110) (dual of [132, 4, 111]-code)	[i]	Truncation
2	Linear OA(8¹²⁷, 131, F₈, 109) (dual of [131, 4, 110]-code)	[i]
3	Linear OA(8¹²⁵, 129, F₈, 107) (dual of [129, 4, 108]-code)	[i]
4	Linear OA(8¹²³, 127, F₈, 105) (dual of [127, 4, 106]-code)	[i]
5	Linear OOA(8¹³⁶, 70, F₈, 2, 118) (dual of [(70, 2), 4, 119]-NRT-code)	[i]	OOA Folding