MinT - Information on Result #1189493

Information on Result #1189493

Linear OOA(5¹⁴¹, 6513, F₅, 24, 24) (dual of [(6513, 24), 156171, 25]-NRT-code), using OA 12-folding and stacking based on linear OA(5¹⁴¹, 78156, F₅, 24) (dual of [78156, 78015, 25]-code), using

constructionÂ XX applied to C_e(23) âŠ‚ C_e(20) âŠ‚ C_e(18) [i] based on
1. linear OA(5¹³⁴, 78125, F₅, 24) (dual of [78125, 77991, 25]-code), using an extension C_e(23) of the primitive narrow-sense BCH-code C(I) with length 78124Â = 5⁷âˆ’1, defining interval IÂ =Â [1,23], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [i]
2. linear OA(5¹¹³, 78125, F₅, 21) (dual of [78125, 78012, 22]-code), using an extension C_e(20) of the primitive narrow-sense BCH-code C(I) with length 78124Â = 5⁷âˆ’1, defining interval IÂ =Â [1,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [i]
3. linear OA(5¹⁰⁶, 78125, F₅, 19) (dual of [78125, 78019, 20]-code), using an extension C_e(18) of the primitive narrow-sense BCH-code C(I) with length 78124Â = 5⁷âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [i]
4. linear OA(5³, 27, F₅, 2) (dual of [27, 24, 3]-code), using
  - discarding factors / shortening the dual code based on linear OA(5³, 31, F₅, 2) (dual of [31, 28, 3]-code), using
    - Hamming code H(3,5) [i]
5. linear OA(5¹, 4, F₅, 1) (dual of [4, 3, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(5¹, 5, F₅, 1) (dual of [5, 4, 2]-code), using
    - Reedâ€“Solomon code RS(4,5) [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (117, 141, 6513)-net over F₅	[i]		Net Defined by OOA