Information on Result #2920892
Linear OOA(2207, 2796202, F2, 6, 12) (dual of [(2796202, 6), 16777005, 13]-NRT-code), using 22 times duplication based on linear OOA(2205, 2796202, F2, 6, 12) (dual of [(2796202, 6), 16777007, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(264, 2097149, F2, 6, 6) (dual of [(2097149, 6), 12582830, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(264, 2097150, F2, 3, 6) (dual of [(2097150, 3), 6291386, 7]-NRT-code), using
- 1 step truncation [i] based on linear OOA(265, 2097151, F2, 3, 7) (dual of [(2097151, 3), 6291388, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(264, 2097150, F2, 3, 6) (dual of [(2097150, 3), 6291386, 7]-NRT-code), using
- linear OOA(2141, 1398101, F2, 6, 12) (dual of [(1398101, 6), 8388465, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2141, 2796202, F2, 3, 12) (dual of [(2796202, 3), 8388465, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2138, 2796201, F2, 3, 12) (dual of [(2796201, 3), 8388465, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2138, 2796201, F2, 3, 12) (dual of [(2796201, 3), 8388465, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2141, 2796202, F2, 3, 12) (dual of [(2796202, 3), 8388465, 13]-NRT-code), using
- linear OOA(264, 2097149, F2, 6, 6) (dual of [(2097149, 6), 12582830, 7]-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.
Other Results with Identical Parameters
None.
Depending Results
None.