MinT - Information on Result #909989

Information on Result #909989

Linear OOA(5¹⁴⁵, 76, F₅, 2, 112) (dual of [(76, 2), 7, 113]-NRT-code), using juxtaposition based on

linear OOA(5²¹, 14, F₅, 2, 18) (dual of [(14, 2), 7, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5²¹, 16, F₅, 2, 18) (dual of [(16, 2), 11, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,13P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
linear OOA(5¹¹⁷, 62, F₅, 2, 93) (dual of [(62, 2), 7, 94]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5¹¹⁷, 124, F₅, 93) (dual of [124, 7, 94]-code), using
  - discarding factors / shortening the dual code based on linear OA(5¹¹⁷, 125, F₅, 93) (dual of [125, 8, 94]-code), using
    - an extension C_e(92) of the primitive narrow-sense BCH-code C(I) with length 124Â = 5³âˆ’1, defining interval IÂ =Â [1,92], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 93 [i]

Mode: Constructive and linear.

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