MinT - Information on Result #1313808

Information on Result #1313808

Linear OA(16⁶³, 959, F₁₆, 25) (dual of [959, 896, 26]-code), using 370 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (4, 0, 1, 5 times 0, 1, 14 times 0, 1, 29 times 0, 1, 51 times 0, 1, 73 times 0, 1, 88 times 0, 1, 101 times 0) based on linear OA(16⁵², 578, F₁₆, 25) (dual of [578, 526, 26]-code), using

trace code [i] based on linear OA(256²⁶, 289, F₂₅₆, 25) (dual of [289, 263, 26]-code), using
- extended algebraic-geometric code AG_e(F,263P) [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289, using
  - sharp bound on the number of rational points on curves with genus 1 [i]

Mode: 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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(16⁶³, 959, F₁₆, 2, 25) (dual of [(959, 2), 1855, 26]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Digital (38, 63, 959)-net over F₁₆	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound