Information on Result #1726968
Digital (21, 30, 1328)-net over F8, using net defined by OOA based on linear OOA(830, 1328, F8, 10, 9) (dual of [(1328, 10), 13250, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(830, 2657, F8, 2, 9) (dual of [(2657, 2), 5284, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(830, 2658, F8, 2, 9) (dual of [(2658, 2), 5286, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(830, 2658, F8, 9) (dual of [2658, 2628, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(830, 4101, F8, 9) (dual of [4101, 4071, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(825, 4096, F8, 7) (dual of [4096, 4071, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(81, 5, F8, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(830, 4101, F8, 9) (dual of [4101, 4071, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(830, 2658, F8, 9) (dual of [2658, 2628, 10]-code), using
- discarding factors / shortening the dual code based on linear OOA(830, 2658, F8, 2, 9) (dual of [(2658, 2), 5286, 10]-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.