Information on Result #1723548
Digital (67, 89, 613)-net over F5, using net defined by OOA based on linear OOA(589, 613, F5, 27, 22) (dual of [(613, 27), 16462, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(589, 2453, F5, 3, 22) (dual of [(2453, 3), 7270, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(589, 2456, F5, 3, 22) (dual of [(2456, 3), 7279, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(589, 2456, F5, 22) (dual of [2456, 2367, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(589, 3138, F5, 22) (dual of [3138, 3049, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- linear OA(586, 3125, F5, 22) (dual of [3125, 3039, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(576, 3125, F5, 19) (dual of [3125, 3049, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(53, 13, F5, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(589, 3138, F5, 22) (dual of [3138, 3049, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(589, 2456, F5, 22) (dual of [2456, 2367, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(589, 2456, F5, 3, 22) (dual of [(2456, 3), 7279, 23]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.