Information on Result #899957
Linear OOA(25108, 195392, F25, 2, 23) (dual of [(195392, 2), 390676, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2519, 78, F25, 2, 11) (dual of [(78, 2), 137, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(255, 26, F25, 2, 5) (dual of [(26, 2), 47, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;47,25) [i]
- linear OOA(2514, 52, F25, 2, 11) (dual of [(52, 2), 90, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,92P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(255, 26, F25, 2, 5) (dual of [(26, 2), 47, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2589, 195314, F25, 2, 23) (dual of [(195314, 2), 390539, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2589, 390628, F25, 23) (dual of [390628, 390539, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2589, 390629, F25, 23) (dual of [390629, 390540, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(2589, 390625, F25, 23) (dual of [390625, 390536, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2585, 390625, F25, 22) (dual of [390625, 390540, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 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(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(2589, 390629, F25, 23) (dual of [390629, 390540, 24]-code), using
- OOA 2-folding [i] based on linear OA(2589, 390628, F25, 23) (dual of [390628, 390539, 24]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.