Information on Result #1196910
Digital (58, 82, 1306)-net over F25, using net defined by OOA based on linear OOA(2582, 1306, F25, 26, 24) (dual of [(1306, 26), 33874, 25]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(2582, 7837, F25, 2, 24) (dual of [(7837, 2), 15592, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2582, 7840, F25, 2, 24) (dual of [(7840, 2), 15598, 25]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2512, 26, F25, 2, 12) (dual of [(26, 2), 40, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;40,25) [i]
- linear OOA(2570, 7814, F25, 2, 24) (dual of [(7814, 2), 15558, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2570, 15628, F25, 24) (dual of [15628, 15558, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(2570, 15625, F25, 24) (dual of [15625, 15555, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2567, 15625, F25, 23) (dual of [15625, 15558, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- OOA 2-folding [i] based on linear OA(2570, 15628, F25, 24) (dual of [15628, 15558, 25]-code), using
- linear OOA(2512, 26, F25, 2, 12) (dual of [(26, 2), 40, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2582, 7840, F25, 2, 24) (dual of [(7840, 2), 15598, 25]-NRT-code), using
Mode: Constructive and 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.