Information on Result #1697688
Linear OOA(2119, 1761821, F2, 8, 11) (dual of [(1761821, 8), 14094449, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2119, 1761821, F2, 4, 11) (dual of [(1761821, 4), 7047165, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2119, 2097151, F2, 4, 11) (dual of [(2097151, 4), 8388485, 12]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2118, 2097151, F2, 4, 11) (dual of [(2097151, 4), 8388486, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2118, 4194302, F2, 2, 11) (dual of [(4194302, 2), 8388486, 12]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2116, 4194301, F2, 2, 11) (dual of [(4194301, 2), 8388486, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2116, 8388602, F2, 11) (dual of [8388602, 8388486, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- OOA 2-folding [i] based on linear OA(2116, 8388602, F2, 11) (dual of [8388602, 8388486, 12]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2116, 4194301, F2, 2, 11) (dual of [(4194301, 2), 8388486, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2118, 4194302, F2, 2, 11) (dual of [(4194302, 2), 8388486, 12]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2118, 2097151, F2, 4, 11) (dual of [(2097151, 4), 8388486, 12]-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.
Other Results with Identical Parameters
None.
Depending Results
None.