P. Gomes

collaborators

3 papers

math.CO2026

A 910-block explicit construction guaranteeing a triple intersection with every $6$ -subset of $[60]$

Paulo Henrique Cunha Gomes

We present a simple explicit family $B$ of $910$ $6$ -subsets of $[60] = {1, \dots, 60}$ such that every $6$ -subset $S \subset [60]$ intersects at least one block $B\in\mathca…

math.CO2026

A 920-block explicit construction guaranteeing a triple intersection with every 6-subset of [60]

Paulo Henrique Cunha Gomes

We present an explicit family $B$ of $920$ subsets of size $6$ of $[60] = {1, \dots, 60}$ with the property that every $6$ -subset $S \subset [60]$ intersects at least one blo…

math.CO2026

An explicit family of 30 blocks meeting every 6-set of [60] in at least two points

Paulo Henrique Cunha Gomes

We exhibit an explicit family $B$ of $30$ subsets (``blocks'') of size $6$ of $[60] = {1, 2, \dots, 60}$ with the following property: for every $6$ -subset $S \subset [60]$ , th…

A 910-block explicit construction guaranteeing a triple intersection with every 6-subset of [60]

A 920-block explicit construction guaranteeing a triple intersection with every 6-subset of [60]

An explicit family of 30 blocks meeting every 6-set of [60] in at least two points

A 910-block explicit construction guaranteeing a triple intersection with every $6$ -subset of $[60]$