Information on Result #1175867
Linear OOA(2245, 1048705, F2, 8, 18) (dual of [(1048705, 8), 8389395, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(238, 130, F2, 8, 9) (dual of [(130, 8), 1002, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(238, 521, F2, 9) (dual of [521, 483, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(238, 522, F2, 9) (dual of [522, 484, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(237, 512, F2, 9) (dual of [512, 475, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(228, 512, F2, 7) (dual of [512, 484, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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(238, 522, F2, 9) (dual of [522, 484, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(238, 521, F2, 9) (dual of [521, 483, 10]-code), using
- linear OOA(2207, 1048575, F2, 8, 18) (dual of [(1048575, 8), 8388393, 19]-NRT-code), using
- OOA 8-folding [i] based on linear OA(2207, 8388600, F2, 18) (dual of [8388600, 8388393, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- OOA 8-folding [i] based on linear OA(2207, 8388600, F2, 18) (dual of [8388600, 8388393, 19]-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.
Other Results with Identical Parameters
None.
Depending Results
None.