Information on Result #1722456
Digital (56, 70, 4602)-net over F5, using net defined by OOA based on linear OOA(570, 4602, F5, 21, 14) (dual of [(4602, 21), 96572, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(570, 13807, F5, 3, 14) (dual of [(13807, 3), 41351, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(570, 13808, F5, 3, 14) (dual of [(13808, 3), 41354, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(570, 13808, F5, 14) (dual of [13808, 13738, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(570, 15646, F5, 14) (dual of [15646, 15576, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(567, 15625, F5, 14) (dual of [15625, 15558, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(549, 15625, F5, 11) (dual of [15625, 15576, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(53, 21, F5, 2) (dual of [21, 18, 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(13) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(570, 15646, F5, 14) (dual of [15646, 15576, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(570, 13808, F5, 14) (dual of [13808, 13738, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(570, 13808, F5, 3, 14) (dual of [(13808, 3), 41354, 15]-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.